Derivative of Parametric Functions

Key Questions

• How do you find the second derivative of a parametric function?

  Let #{(x=x(t)),(y=y(t)):}#.

  First Derivative

  #{dy}/{dx}={{dy}/{dt}}/{{dx}/{dt}}={y'(t)}/{x'(t)}#

  Second Derivative

  #{d^2y}/{dx^2}=d/{dx}[{y'(t)}/{x'(t)}]=1/{{dx}/{dt}}{d}/{dt}[{y'(t)}/{x'(t)}]#

  by Quotient Rule,

  #=1/{x'(t)}cdot{y''(t)x'(t)-y'(t)x''(t)}/{[x'(t)]^2}#

  #={y''(t)x'(t)-y'(t)x''(t)}/{[x'(t)]^3}#

  I hope that this was helpful.

  Wataru · · Oct 2 2014
• How do you find #dy/dx# for the curve #x=t*sin(t)#, #y=t^2+2# ?

  To find the derivative of a parametric function, you use the formula:

  #dy/dx = (dy/dt)/(dx/dt)#, which is a rearranged form of the chain rule.

  To use this, we must first derive #y# and #x# separately, then place the result of #dy/dt #over #dx/dt#.

  ---

  #y=t^2 + 2#

  #dy/dt = 2t# (Power Rule)

  ---

  #x=tsin(t)#

  #dx/dt = sin(t) + tcos(t)# (Product Rule)

  ---

  Placing these into our formula for the derivative of parametric equations, we have:

  #dy/dx = (dy/dt)/(dx/dt) = (2t)/(sin(t)+tcos(t))#

  Collin C. · 1 · Aug 28 2014
• How do you find derivatives of parametric functions?

  For the parametric equations

  #{(x=x(t)),(y=y(t)):}#,

  we can find the derivative

  #{dy}/{dx}={{dy}/{dt}}/{{dx}/{dt}}={y'(t)}/{x'(t)}#.

  Wataru · · Sep 20 2014

• How do you find the second derivative of a parametric function?
• How do you find derivatives of parametric functions?
• How do you find #dy/dx# for the curve #x=t*sin(t)#, #y=t^2+2# ?
• How do you find the equation of the tangent to the curve #x=t^4+1#, #y=t^3+t# at the point where #t=-1# ?
• How do you find #(d^2y)/(dx^2)# for the curve #x=4+t^2#, #y=t^2+t^3# ?
• How do you find parametric equations of a tangent line?
• How do you find parametric equations for the tangent line to the curve with the given parametric equations #x=7t^2-4# and #y=7t^2+4# and #z=6t+5# and (3,11,11)?
• How do you find the equation of a line tangent to the curve at point #t=-1# given the parametric equations #x=t^3+2t# and #y=t^2+t+1#?
• How do you differentiate the following parametric equation: # x(t)=t^3-5t, y(t)=(t-3) #?
• How do you differentiate the following parametric equation: # x(t)=lnt, y(t)=(t-3) #?
• How do you differentiate the following parametric equation: # x(t)=lnt/t, y(t)=(t-3)^2 #?
• How do you differentiate the following parametric equation: # x(t)=lnt-t, y(t)=(t-3)^2 #?
• How do you differentiate the following parametric equation: # x(t)=e^t-t, y(t)=1-t^2 #?
• How do you differentiate the following parametric equation: # x(t)=e^t-1/t, y(t)=1-t^2 #?
• How do you differentiate the following parametric equation: # x(t)=1/t, y(t)=1/(1-t^2) #?
• How do you differentiate the following parametric equation: # x(t)=t/(t-4), y(t)=1/(1-t^2) #?
• How do you differentiate the following parametric equation: # x(t)=t/(t-4), y(t)=1+t #?
• How do you differentiate the following parametric equation: # x(t)=1/t, y(t)=lnt #?
• How do you differentiate the following parametric equation: # x(t)=e^(t^2-t) , y(t)=lnt #?
• How do you differentiate the following parametric equation: # x(t)=e^(t^2-t) , y(t)=t^2-t #?
• How do you differentiate the following parametric equation: # x(t)=te^t , y(t)=e^t #?
• How do you differentiate the following parametric equation: # x(t)=te^-t , y(t)=e^t/t #?
• How do you differentiate the following parametric equation: # x(t)=te^t , y(t)=e^t/t #?
• How do you differentiate the following parametric equation: # x(t)=t-te^t , y(t)=e^t #?
• How do you differentiate the following parametric equation: # x(t)=t^2-te^t , y(t)=e^(3t) #?
• How do you differentiate the following parametric equation: # x(t)=(t+3t^2)e^t , y(t)=t/e^(3t) #?
• How do you differentiate the following parametric equation: # x(t)=(1-t)/e^t , y(t)=t/e^(3t) #?
• How do you differentiate the following parametric equation: # x(t)=e^t/(t+t), y(t)=t-e^(3t) #?
• How do you differentiate the following parametric equation: # x(t)=e^t/(t+t)^2-1, y(t)=t-e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=e^t/(t+t)^2-t, y(t)=t-e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=e^t-t, y(t)=sint #?
• How do you differentiate the following parametric equation: # x(t)=cost, y(t)=sint #?
• How do you differentiate the following parametric equation: # x(t)=tcost, y(t)=tsint #?
• How do you differentiate the following parametric equation: # x(t)=t, y(t)=t #?
• How do you differentiate the following parametric equation: # x(t)=cos^2t, y(t)=sint/t #?
• How do you differentiate the following parametric equation: # x(t)=cos^2t, y(t)=sin2t #?
• How do you differentiate the following parametric equation: # x(t)=t^2cos^2t, y(t)=tsint #?
• How do you differentiate the following parametric equation: # x(t)=t-cos^2t, y(t)=tsint #?
• How do you differentiate the following parametric equation: # x(t)=t-cos2t, y(t)=tsin^2t #?
• How do you differentiate the following parametric equation: # x(t)=t^2+cos2t, y(t)=t-sint #?
• How do you differentiate the following parametric equation: # x(t)=t^2+tcos2t, y(t)=tsint #?
• How do you differentiate the following parametric equation: # x(t)=sqrt(t^2+tcos2t), y(t)=t^2sint #?
• How do you differentiate the following parametric equation: # x(t)=-t^2+tcost, y(t)=t^2sint #?
• How do you differentiate the following parametric equation: # x(t)=e^t-t, y(t)=tant-sect #?
• How do you differentiate the following parametric equation: # x(t)=e^t-t, y(t)=e^tsect #?
• How do you differentiate the following parametric equation: # x(t)=e^tcost-t, y(t)=e^t-sint #?
• How do you differentiate the following parametric equation: # x(t)=e^t-cost-t, y(t)=e^t-tsint #?
• How do you differentiate the following parametric equation: # x(t)=t^2-t, y(t)=e^t+cost #?
• How do you differentiate the following parametric equation: # x(t)=t^2-t, y(t)=t^3-t^2+3t #?
• How do you differentiate the following parametric equation: # x(t)=te^t-2t, y(t)=-3t^3-2t^2+3t #?
• How do you differentiate the following parametric equation: # x(t)=-te^t-2t, y(t)= 3t^3-4t #?
• How do you differentiate the following parametric equation: # x(t)=-te^t+t, y(t)= 3t^3-4t #?
• How do you differentiate the following parametric equation: # x(t)=-te^t+t, y(t)= 3t^2+2t #?
• How do you differentiate the following parametric equation: # x(t)=-e^t+4t, y(t)= 3t^2+2t #?
• How do you differentiate the following parametric equation: # x(t)=-e^t-4t, y(t)= -5t^2+2 #?
• How do you differentiate the following parametric equation: # x(t)=-3e^t-2t, y(t)= -5t^2+2 #?
• How do you differentiate the following parametric equation: # x(t)=-3e^t-2t, y(t)= -5t^2-e^(4t) #?
• How do you differentiate the following parametric equation: # x(t)=-3e^t-4t, y(t)= -5t^2-e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=-2te^t+4t, y(t)= -5t^2-e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=-2te^t+4t, y(t)= -2t^2-3e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=te^t+5t, y(t)= t^2-3e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=-te^t+t, y(t)= -2t^2-2te^(t) #?
• How do you differentiate the following parametric equation: # x(t)=-t-e^t, y(t)= -2t^2-2t^3e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=(lnt)^2, y(t)= -2t^2-2t^3e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=sqrt(t-2), y(t)= t^2-2t^3e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=tsqrt(t^2-1), y(t)= t^2-e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=tsqrt(t^2-1), y(t)= sqrt(t^2-e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=t/sqrt(t^2-1), y(t)= sqrt(t^2-e^(t) #?
• How do you differentiate the following parametric equation: # x(t)=t^3-t, y(t)= 1-sint #?
• How do you differentiate the following parametric equation: # x(t)=t, y(t)= 1-tcost #?
• How do you differentiate the following parametric equation: # x(t)=-3t/(1-t), y(t)= 1-tcost #?
• How do you differentiate the following parametric equation: # x(t)=t/2, y(t)= 1-t-cost #?
• How do you differentiate the following parametric equation: # x(t)=lnt, y(t)= tcost #?
• How do you differentiate the following parametric equation: # x(t)=lnt-t, y(t)= tcos^2t #?
• How do you differentiate the following parametric equation: # x(t)=lnt-2t, y(t)= cos^2t #?
• How do you differentiate the following parametric equation: # x(t)=1-lnt, y(t)= cost-t^2 #?
• How do you differentiate the following parametric equation: # x(t)=t-lnt, y(t)= cost-sint #?
• How do you differentiate the following parametric equation: # x(t)=tlnt, y(t)= cost-sin^2t #?
• How do you differentiate the following parametric equation: # x(t)=tlnt, y(t)= cost-tsin^2t #?
• How do you differentiate the following parametric equation: # x(t)=tlnt, y(t)= t^3cost-tsin^2t #?
• How do you differentiate the following parametric equation: # x(t)=e^tsint, y(t)= tcost-tsin^2t #?
• How do you differentiate the following parametric equation: # x(t)=te^tsint, y(t)= tcost-sin^2t #?
• How do you differentiate the following parametric equation: # x(t)=te^t, y(t)= t^2-e^(t-1) #?
• How do you differentiate the following parametric equation: # x(t)=t-(t+1)e^t, y(t)= t^2-e^(t-1) #?
• How do you differentiate the following parametric equation: # x(t)=(t+1)e^t, y(t)= t-e^(t-1) #?
• How do you differentiate the following parametric equation: # x(t)=(t+1)e^t, y(t)= (t-2)^2+t#?
• How do you differentiate the following parametric equation: # x(t)=(t+1)^2+e^t, y(t)= (t-2)^2+t#?
• How do you differentiate the following parametric equation: # x(t)=3(t+1)^2+2e^t, y(t)= (t+2)^2+t^2#?
• How do you differentiate the following parametric equation: # x(t)=(t-1)^2-e^t, y(t)= (t+2)^2+t^2#?
• How do you differentiate the following parametric equation: # x(t)=te^t-lnt, y(t)= t^3e^t-t^2+t#?
• How do you differentiate the following parametric equation: # x(t)=t-e^(t^2-t+1), y(t)= te^(t-t^2)#?
• How do you differentiate the following parametric equation: # x(t)=t-e^(t^2-t+1)/t, y(t)= t^2-e^(t-t^2)#?
• How do you differentiate the following parametric equation: # x(t)=t-5, y(t)= t^2#?
• How do you differentiate the following parametric equation: # x(t)=3t-1, y(t)= t^2-t+4#?
• How do you differentiate the following parametric equation: # x(t)=-t-2, y(t)= t^2/(-t+4#?
• How do you differentiate the following parametric equation: # (t-5t^3,3t^4-t^3)#?
• How do you differentiate the following parametric equation: # (t-t^3,3/t^4-t^3)#?
• How do you differentiate the following parametric equation: # (sint,cost-t)#?
• How do you differentiate the following parametric equation: # (sint,tcost-pit)#?
• How do you differentiate the following parametric equation: # (tsec(t/3-pi),t cos(pi-t))#?
• How do you differentiate the following parametric equation: # (3sin(t/6-pi/12), 2tcos(pi/3-t/8))#?
• How do you differentiate the following parametric equation: # (3t-sin(t/3-pi/4), 2tcos(pi/3-t/4))#?
• How do you differentiate the following parametric equation: # (t-tsin(t/2+pi/3), 2tcos(pi/2-t/3))#?
• How do you differentiate the following parametric equation: # (t-tsin(t/3), -tcos(pi/2-t/3))#?
• What is the slope of #f(t) = (t^2-tsqrtt,t/2)# at #t =3#?
• What is the slope of #f(t) = (t-2t^2,t)# at #t =-1#?
• What is the slope of #f(t) = (t-2t+4,t^2)# at #t =0#?
• What is the slope of #f(t) = (t+1,t)# at #t =0#?
• What is the slope of #f(t) = (t+1,t^3)# at #t =1#?
• What is the slope of #f(t) = (t-1,t^3)# at #t =1#?
• What is the slope of #f(t) = (t-1,t+3)# at #t =1#?
• What is the slope of #f(t) = (t^2-t,t+3)# at #t =1#?
• What is the slope of #f(t) = (t^2+2t,t-3)# at #t =1#?
• What is the slope of #f(t) = (t^2+2t,2t-3)# at #t =-1#?
• What is the slope of #f(t) = (-4t^2+2t,2t)# at #t =-1#?
• What is the slope of #f(t) = (t-2,2t)# at #t =-1#?
• What is the slope of #f(t) = ((t-2)^3,2t)# at #t =-1#?
• What is the derivative of #f(t) = (t-sint , cost ) #?
• What is the derivative of #f(t) = (t-sint , cost/t^2 ) #?
• What is the derivative of #f(t) = (t/sint , cost/t^2 ) #?
• What is the derivative of #f(t) = (t/sint , t^2-t^3cost ) #?
• What is the derivative of #f(t) = (tsint , t^2-tcost ) #?
• What is the derivative of #f(t) = (tsint , t^2-t tant ) #?
• What is the derivative of #f(t) = (tcos^2t , t^2-t sect ) #?
• What is the derivative of #f(t) = (tcos^2t , t^2-t /sect ) #?
• What is the derivative of #f(t) = (tcos^2t , t^2-cost ) #?
• What is the derivative of #f(t) = (tcos^2t , t^2sin^2t-cost ) #?
• What is the derivative of #f(t) = (te^t , t^2sin^2t-cost ) #?
• What is the derivative of #f(t) = (te^t , e^tcost ) #?
• What is the derivative of #f(t) = (te^t +e^t, e^t-cost ) #?
• What is the derivative of #f(t) = (e^t/t +e^t, e^t-cost ) #?
• What is the derivative of #f(t) = (e^t/t +e^t, e^t-tcost ) #?
• What is the derivative of #f(t) = (t +e^t, e^t-tcost ) #?
• What is the derivative of #f(t) = (t +e^t, te^t-sint ) #?
• What is the derivative of #f(t) = (t +e^t, te^t-t^2+t ) #?
• What is the derivative of #f(t) = (t +te^t, e^t-t^2+t ) #?
• What is the derivative of #f(t) = (1-te^t, t^2+t ) #?
• What is the derivative of #f(t) = (2-te^t, 2t^2+5t ) #?
• What is the derivative of #f(t) = (2t-3te^t, 2t^2+3t ) #?
• What is the derivative of #f(t) = (2t-3te^t, 2t^2-t ) #?
• What is the derivative of #f(t) = (2t-e^t, 2t^2-t ) #?
• What is the derivative of #f(t) = (e^(t^2)-e^t, 2t^2-t ) #?
• What is the derivative of #f(t) = (e^(t^2)-e^t, 2t^2-4t ) #?
• What is the derivative of #f(t) = (e^(t^2-1)-e^t, 2t^2-4t ) #?
• What is the derivative of #f(t) = (e^(t^2-1)-t, 2t^2-4t ) #?
• What is the derivative of #f(t) = (e^(t^2-1)-t, 2t^3-4t ) #?
• What is the derivative of #f(t) = (e^(t^2-1)-t, -t^3-4t ) #?
• What is the derivative of #f(t) = (e^(t^2-1)+3t, -t^3+t ) #?
• What is the derivative of #f(t) = (lnt, -3t^3+5t ) #?
• What is the derivative of #f(t) = (lnt, 3t^2+5t ) #?
• What is the derivative of #f(t) = (tlnt, 3t^2+5t ) #?
• What is the derivative of #f(t) = (tlnt, 3t^2-t ) #?
• What is the derivative of #f(t) = (t-lnt, te^t ) #?
• What is the derivative of #f(t) = (t-lnt, tsint ) #?
• What is the derivative of #f(t) = (t-lnt, t^2sint ) #?
• What is the derivative of #f(t) = (t-lnt^2, t^2sint ) #?
• What is the derivative of #f(t) = (t-lnt^2, t^2-sint ) #?
• What is the derivative of #f(t) = (t^2-lnt, t^2-sint ) #?
• What is the derivative of #f(t) = (t^2-lnt, t^2-sin^2t ) #?
• What is the derivative of #f(t) = (t^2-lnt, t^2-cos^2t ) #?
• What is the derivative of #f(t) = ((lnt)^2-t, t^2cost ) #?
• What is the derivative of #f(t) = ((lnt)^2-t, tcost ) #?
• What is the derivative of #f(t) = ((lnt)^2-t, tsint ) #?
• What is the derivative of #f(t) = ((lnt)^2-t, tcsct ) #?
• What is the derivative of #f(t) = ((lnt)^2-t, tsect ) #?
• What is the derivative of #f(t) = ((lnt)^2-t, sec(1-t) ) #?
• What is the derivative of #f(t) = (1-t , sec(1-t) ) #?
• What is the derivative of #f(t) = (1-e^t , sec(1-t) ) #?
• What is the derivative of #f(t) = (e^(1-t) , tan^2t ) #?
• What is the derivative of #f(t) = (t^3e^(1-t) , tan^2t ) #?
• What is the derivative of #f(t) = (t^3-e^(1-t) , tan^2t ) #?
• What is the derivative of #f(t) = (t^3-te^(1-t) , t^2-6t+e^t ) #?
• What is the derivative of #f(t) = (t^3-te^(1-t) , t^2-t+te^t ) #?
• What is the derivative of #f(t) = (t^3-e^(3t-1) , t^2+te^t ) #?
• What is the derivative of #f(t) = (t^3-e^(3t-1) , 3t^2+2e^t ) #?
• What is the derivative of #f(t) = (t^3-e^(3t-1) , -t^2-e^t ) #?
• What is the derivative of #f(t) = (t^3-e^(3t-1) , t-e^t ) #?
• What is the derivative of #f(t) = (t^2-2e^(3t-1) , t-e^t ) #?
• What is the derivative of #f(t) = (t^2-2e^(t-1) , t-e^t ) #?
• What is the derivative of #f(t) = (t^2-sint , t-e^t ) #?
• What is the derivative of #f(t) = (t^2-sint , t-1 ) #?
• What is the derivative of #f(t) = (t^2-sint , 1/(t-1) ) #?
• What is the derivative of #f(t) = (t^2-sint , 1/(t^2-1) ) #?
• What is the derivative of #f(t) = (1/(3t) , t/(5t-4) ) #?
• What is the derivative of #f(t) = (1/(3t+2) , t/(t^2-1) ) #?
• What is the derivative of #f(t) = (t/(t+2) , t/(t^2-1) ) #?
• What is the derivative of #f(t) = (t/(t+1) , t/(4t^2-t) ) #?
• What is the derivative of #f(t) = (t/(t+1) , 1/(t^2-t) ) #?
• What is the derivative of #f(t) = (-1/(t+1) , e^(2t-1) ) #?
• What is the derivative of #f(t) = (t/(t+1) , te^(2t-1) ) #?
• What is the derivative of #f(t) = (t^2-1 , te^(2t-1) ) #?
• What is the derivative of #f(t) = (t^2-1 , t^2-e^(2t-1) ) #?
• What is the derivative of #f(t) = (t^2-1 , t^2+1 -e^(2t^2-2) ) #?
• What is the derivative of #f(t) = (t^2-1 , te^(2t^2-2) ) #?
• What is the derivative of #f(t) = (t^2+1 , e^(2t^2-2) ) #?
• What is the derivative of #f(t) = (t^2+1 , e^(-t^2-t) ) #?
• What is the derivative of #f(t) = (t^2+1 , e^(1-t) ) #?
• What is the derivative of #f(t) = (t^2+1 , t-e^(1-t) ) #?
• What is the derivative of #f(t) = (t^2-t , t^2-e^(1-t)/t^3 ) #?
• The motion of the particle is given parametrically by #x(t)=3t^2-3#, #y(t)=2t +2# for t is greater than or equal to 0, how do you find the speed of the particle at t=1?
• Question #5cb24
• Question #34c6f
• Question #f6b13
• Question #7fdfd
• Question #bdbad
• How do you find the equations of the tangent and normal of the curve at #x=t^2#, #y=t+3#, #t=1#?
• How do you find the equations of the tangents to #5x^2-4y^2=4# at those points where the curve is cut by #5x-2y=4#?
• How do you find dy/dx given #x = t^2 - 2t# and #y = t^4 - 4t#?
• How do you find d/dt given #y=t^3 - 3t# and #x=t^2#?
• How do you find cartesian equation the parametric equations of a circle are #x=cos theta -4# and #y=sin theta + 1#?
• How do you find the vector equation and the parametric equations of the line that passes through the points A (3, 4) and B (5, 5)?
• How do you find the parametric equation of a line in R3 that passes through P(1,1,1) and is orthogonal to both the lines x=3-t, y= -1+4t, z = -2t and x=2+2t, y=1+t, z=-2+3t where t is any real number?
• How do you find an equation for the plane that contains the line with parametric equations #l=(8 - 7t, -5 - 2t , 5 - t)# and is parallel to the line with parametric equations #x=3 + t, y=-7 + 9t, z=8 - 6t#?
• The ellipse #((x^2)/(2^2) + (y^2)/(3^2))=1# can be drawn with what parametric equations?
• Given 2x -3y + z - 6 = 0, how do you get a vector equation from this scalar or a parametric equations?
• How do you convert the parametric equation to rectangular form #x = e^t#, #y = e^(-t)#?
• How do you find the parametric equation for y if #x = e^t# for the line passing through the points (2,1) and (-2,3)?
• A soccer ball kicked at the goal travels in a path given by the parametric equations: x=50t; #y=-16t^2+32t#, At what two times will the ball be at a height of 6ft.?
• A soccer ball kicked at the goal travels in a path given by the parametric equations: x=50t; #y=-16t^2+32t#, Suppose the ball enters the goal at a height of 5ft. How far away from the goal was the kicker?
• How do you turn the parametric equations into a Cartesian equation x = t -1 y = -3 t?
• How do you find two different parametric equations for rectangular equation given: y = 6x - 1?
• How do you find the parametric equations of each line in space the line that intersects (4,5,-2) and is parallel to the z-axis?
• How do you find the parametric equations of line through the origin and parallel to the line determined by x = 2t, y = 1 - t, z = 4 + 3t?
• How do you find the parametric equations of line that passes through the points (1, 3, 2) and ( -4, 3, 0)?
• How do you find d²y/dx² when x=1+2cost y=1+3sint?
• Given that a curve C is represented parametrically by x=t²/2 + 3t y=t²-2t how do you find the value of dy/dx and show that d²2y/dx²=8/(t+3)^3 and Show that C has only one stationary point and that this is a minimum?
• Given #y=3x^2 - 2#, why/how is #x= sqrt(3)*t# and #y = t^2 -2# the parametric equations?
• The parametric equation of a curve are #x=t+e^-t#, #y=1-e^-t#, where t takes all real values. How do you find dy/dx in terms of t, and hence find the value of t, for which the gradient of the curve is 1, giving your answer in logarithmic form?
• Given x = cost y=sin2t, how do you find the dy/dx terms parameter t and find the values parameter t points dy/dx = 0?
• The curve has a parametric equation of #x=(t^3)-12t# and #y=3(t^2)#, how would you find the two points the parameter t=2 crosses the curve?
• How do you transform parametric equations into Cartesian form: x= 3 + 2 cost and y= 1 + 5sint?
• How do you write the pair of parametric equations as a single equation in x and y given x=7t-7 and #y=7t^2-3#?
• A Curve (C) Has Parametric Equations x=3cost and y=cos2t and find the coordinates on the point on the curve where the gradient is 1?
• How do you determine the intersection between parametric curves #(t^2+2t,-3t^2+5t)# and #(-2t^2+4t,t^2+2t)#?
• Question #3e542
• Question #12fa5
• Find the derivative of #1/(-sint)#?