Summary of Differentiation Rules
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Summary of Differentiation RulesQuestions
- What is a summary of Differentiation Rules?
- What are the first three derivatives of #(xcos(x)-sin(x))/(x^2)#?
- How do you find the derivative of #(e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))#?
- How do I find the derivative of #y= x arctan (2x) - (ln (1+4x^2))/4#?
- How do you find the derivative of #y = s/3 + 5s#?
- What is the second derivative of #(f * g)(x)# if f and g are functions such that #f'(x)=g(x)# and #g'(x)=f(x)#?
- How do you calculate the derivative for #g(t)= 7/sqrtt#?
- Can you use a calculator to differentiate #f(x) = 3x^2 + 12#?
- What is the derivative of #ln(x)+ 3 ln(x) + 5/7x +(2/x)#?
- How do you find the formula for the derivative of #1/x#?
- How do you find the derivative for #2x^4-1#?
- How do you differentiate #f(x)=5x^4-3x^2+2#?
- How do you differentiate #f(x) = 260#?
- How do you differentiate #x^3 + x^2 +10#?
- How do you differentiate #(5-x^2)(x^3-3x+3)#?
- How do you find the derivative of #f(x)=(1/x^2)#?
- How do you find the derivative of #x^2-4# and #x^2-3x+2#?
- How do you find the derivative of the function #f(x)=-2x^-3+x^2-7#?
- How do you find the derivative of #x+sqrt(x)#?
- How to find the derivative of #x^4#?
- How do you differentiate #f(x) = abs(5x-2)#?
- What is the derivative of #y= x/pi#?
- How do you find the first, second derivative of #3x^(2/3)-x^2#?
- How do you find the derivative of #f(x)=x^2-5x+3#?
- How do you find the derivative of #f(x)=x^ln(3)#?
- How do you differentiate #d/dx 5^2x^2#?
- How do you find the derivative of #sqrt(x^2+1)#?
- How do you find the derivative of #4sqrt(x-3) + x^5/(2x)#?
- How do you find the derivative of the function: #f(x) = x^3 - 3x^2 - 1#?
- How do you find the derivative of the inverse of #y = 4x + 2x#?
- How do you find the derivative of the inverse of #f(x)=7x+6#?
- How can I find the derivative of the inverse of #f(x)= x^3+x+1# at x=11?
- How do you find the derivative of an inverse function of #f(x)=x^5+3x−2#?
- How do you differentiate f(x) = sin(x²)?
- How do you differentiate f(x) = x² ln(x) ?
- How do you differentiate #f(x) = sin ( x² ln(x) )#?
- How do you differentiate #f(x) = 2x cos(x²)#?
- How do you differentiate #f'(x) = 2x log(x) + x#?
- How do you differentiate # f(x) = [ (2x)/(log(x)) ] - [ x/(log²(x)) ] #?
- How do you differentiate #f'(x) = cos( x² ln(x) ) * ( 2x ln(x) + x ) #?
- How do you differentiate #(x^2-5x+2)/root3x#?
- How do you differentiate #g(w) = (w^n - 5^n) /n #?
- How do you differentiate #(4x^-2) - 8x + 1#?
- How do you differentiate #f(x)=x*e^(1-sqrt(x)*ln(x))#?
- How do you differentiate #f(x)= 5/x^3 - 3/ x^(1/3)#?
- How do you differentiate #1/sqrt(1-x^2)#?
- How do you differentiate #y=x*sqrt(16-x^2)#?
- How do you differentiate #f(x)= 2^(3x)#?
- How do you differentiate #y= 1/x (sin^-5(x)) - x/3 (cos^3(x))#?
- How do you differentiate #[sin[(3x+7)^2]^3]#?
- How do you differentiate #sin^2(x)#?
- How do you differentiate #y = -2 /root3x#?
- How do you differentiate #y=3x^4-6x^3+x^2/8+5#?
- How do you differentiate #2x^4 * 6^(3x)#?
- How do you differentiate #[(2x^3) - (4x^2) + 3] / x^2 #?
- How do you differentiate #(4x)^3 * (2x)^6#?
- How do you differentiate #(6x-5)^4#?
- How do you differentiate #y = -7x*(-5/3)#?
- How do you differentiate #y = -(1/x^2) - sqrtx + (1/2)#?
- How do you differentiate #y = (x^3 + 4)(-x^6 + x^4)#?
- How do you differentiate #y = (sqrt x + (1/2))(x^3 + x^(1/3))#?
- How do you differentiate # y = (2x^3 + 4 )/( x + 7)#?
- How do you differentiate # y = (x^(2/3) + 3) /( x^(1/5) + x)#?
- How do you differentiate #(3+2x - x^2)^(1/2)#?
- How do you differentiate #f(x) = 1 + 1/x + 7/x^2 + 1/x^3#?
- How do you differentiate #y=(4x^2+5)(3x-5)#?
- How do you differentiate #(1+x)^(1/x)#?
- How do you differentiate #f(x) = (2x+1)(4-x^2)(1+x^2) #?
- What is the derivative of #f(x)= log_3(3-2x)#?
- What is the derivative of #y= ln abs(secx-tanx)# for #x>0#?
- What is the derivative of #f(x)=ln(e^(2x))#?
- What is the derivative of #f(x)=ln(ln(x))#?
- What is the derivative of #y=x/(x^3-1)#?
- What is the derivative of #7y= e^(-x^2) #?
- What is the derivative of #y= -e^(x^2+x-3) #?
- What is the derivative of #y= (e^(ix)-e^(-ix) )/2#?
- How do you find #(delf(x,y))/(dely)# and #(delf(x,y))/(delx)# of #f(x,y)=(yx^2-2y)/(2ye^x+y^-3)#, using the quotient rule?
- How do you find the derivative of # ((x)^(1/2))(e^(x))#?
- How do you find the derivative of # h(x) = ln(cosh(2x)) #?
- How do you find the derivative of # f(x) = 1/sqrt(x) #?
- How do you find the derivative of # f(x)=x^3-5x^2+2x+8#?
- How do you find the derivative of #(log^2(x))#?
- How do you find the derivative of #x^(5/3) * ln(3x)#?
- How do you find the derivative of #f(x)=x^3 - 5x^2 - 4x + 20#?
- How do you find the derivative of #sinh^4(x)#?
- How do you find the derivative of #3x² + 2sin(x - 5)#?
- How do you find the derivative of #(x+1)^x#?
- How do you find the derivative of #F(X)= tan^-1(E^(x*sinx))#?
- How do you find the derivative of #((2x+1)^(5)/(x^(2)+1)^(1/2))#?
- How do you find the derivative of #f(x) = x^4 - 3/4x^3 - 4x^2 +1#?
- How do you find the derivative of #8^(2x)#?
- How do you find the derivative of #4^(6x)#?
- How do you find the derivative of #g(t)=(2t)^(sin(t))#?
- How do you find the derivative of #f(x)=sin8x#?
- How do you find the derivative of #x^(log(base5)(x))#?
- How do you find the derivative of #f(x)= x^logx#?
- How do you find the derivative of #y = (3x + 1)^2#?
- How do you find the derivative of # (pi/2)sinx-cosx#?
- How do you find the derivative of # f(x) = (x)(14^x) #?
- How do you find the derivative of # (sin x)^cos x #?
- How do you find the derivative #f(x)= 3x+2#?
- What is the derivative of #e^a# (a is any constant number)?
- What is the derivative of #e^1#?
- What is the derivative of #y = [(x-2)/k]^(1/2)# where k is a constant?
- What is the derivative of #1/x#?
- What is the derivative of #4/x#?
- What is the derivative of #e^2#?
- What is the derivative of #c*(e^x)# where c is a constant?
- What is the derivative of #2#?
- What is the derivative of #pi#?
- What is the derivative of #picosx#?
- What is the derivative of #picos((pit)/6)#?
- What is the derivative of #x/2#?
- What is the derivative of #x^2/5#?
- What is the derivative of #e^(-kx)#?
- What is the derivative of #i#?
- What is the derivative of #y=x+a#?
- What is the derivative of #b^x# where b is a constant?
- What is the derivative of #ln 5#?
- What is the derivative of #2^(1/2) (x + 2)#?
- What is the derivative of #y=-4#?
- How do you find the first and second derivative of #x^2-2x-3#?
- How do you find the derivative of #f(x) = x^(5/ 2) e^x #?
- How do you find the derivative of #y=[(2-3x^2)^(1/2)](5x+2)#?
- How do you find the derivative of #(x-3) /( 2x+1)#?
- How do you find the derivative of #sin (cos(2t-5))#?
- How do you find the derivative of # x#?
- How do you find the derivative of # f(x)= x/(x-1)#?
- How do you find the derivative of # f(x) = -2x^2.5 + 8x^5#?
- How do you find the derivative of #y=10x^-2 + 3x^-4 - 6x#?
- How do you find the derivative of #y= ( 2x sin x ) ^ 3x cos x#?
- How do you find the derivative of #f(x) = (1/x)^x#?
- How do you find the derivative of #g(t) = (e^-t + e^t)^3#?
- How do you find the derivative of #y = x^(cos x)#?
- How do you find the derivative of #ln(sec^2 * x)#?
- How do you find the derivative of #y= (1+x^2)cot-1(2x)#?
- How do you find the derivative of #y=x^4-3x^2+7x-2#?
- How do you find the derivative of # F(x) = (sinx/(1+cosx))^2#?
- How do you find the derivative of #f(x) = (2x-3) ^ -2#?
- How do you find the derivative of #f(x) = (4x^3 + 2x) ^ - 4#?
- How do you find the derivative of #root5(x^-5)#?
- How do you find the derivative of #f(x)=x/(1 + x^2)#?
- How do you find the derivative of #y= x^3*2^x#?
- How do you find the derivative of #root3((6x+7))#?
- How do you find the derivative of #y= e^(ex) ln x#?
- How do you find the derivative of #y= log_4(x+e^x+e)#?
- How do you find the derivative of #6(z^2+z-1)^-1#?
- How do you find the derivative of #y=arcsin(5x+5)#?
- How do you find the derivative of #y = (ln 2)^x#?
- How do you find the derivative of #f(x) = ln(e^-x - x)#?
- How do you find the derivative of #f(x) = (5x^2 + 11)e^(-21x)#?
- How do you find the derivative of #y = (x^2 + sqrtx + 1 ) / x^(3/2)#?
- How do you find the derivative of #f(x)=1/(x-1)#?
- How do you find the derivative of #f(x)=sqrt(x+1)#?
- How do you find the derivative of # ln(1+(1/x))#?
- How do you find the derivative of #-2x(x^2+3)^-2#?
- How do you find the derivative of #1/x#?
- How do you find the derivative of #(1+x)^(1/x)#?
- How do you find the derivative of #2x-1#?
- How do you find the derivative of #1/(x^3-x^2)#?
- How do you find the derivative of #1/(x+1)^2 #?
- How do you find the derivative of #e^(1/x) #?
- How do you find the derivative of #1/x^2 #?
- How do you find the derivative of #f(x)=(1/x^2)#?
- How do you find the derivative of # 1/t^2#?
- How do you find the derivative of #1/(1+x^4)#?
- How do you find the derivative of #(tanx)^-1#?
- How do you find the derivative of #sin^-1 * (5x)#?
- How do you find the derivative of # csc^-1 (u)#?
- How do you find the derivative of # ln((x+1)/(x-1))#?
- How do you find the derivative of #arctan(1/x)#?
- How do you find the derivative of # (2x-1)^3#?
- How do you find the derivative of #1/sqrt (x-1)#?
- How do you find the derivative of #sin^-1(x)#?
- How do you find the derivative of # [e^x / (1 - e^x)]#?
- How do you find the derivative of #4 / (x+3)#?
- How do you find the derivative of #(1/(3x^2) - (5/(2x)))#?
- How do you find the derivative of #1/(1- x)#?
- How do you find the derivative of #1 / (sinx+cosx)#?
- How do you find the derivative of #(x/(2x+1))#?
- How do you find the derivative of #1/(1+x^2)#?
- How do you find the derivative of #1/(x+1)#?
- How do you find the derivative of #ln(1/x)#?
- How do you find the derivative of #x^(1/x)#?
- How do you find the derivative of #(X/(X^2+1))#?
- How do you find the derivative of #1/(sec x - tan x)#?
- How do you find the derivative of #1/cosx#?
- How do you find the derivative of #1/x^5#?
- How do you find the derivative of #sqrt(1-x^2)#?
- How do you find the derivative of #sqrt(3x+1)#?
- How do you find the derivative of #sqrt(1-2x)#?
- How do you differentiate given #y=(secx^3)sqrt(sin2x)#?
- How do you find the derivative of the inverse of #y = x^2 + 1#?
- How do you find the derivative of the function: #f(x) = x^3 - 3x^2 - 1# evaluated at x=3?
- How do you differentiate # f(x) = -5x + 3#?
- What is the derivative of #f(x)=5#?
- What is the derivative of #x=1#?
- How do you calculate the fourth derivative of #f(x)=2x^4+3sin2x+(2x+1)^4#?
- If F(x) is a differentiable function, and #F(-1) = 5#, #F'(-1) = 4# and #(F^-1)(4) = 2/3# then what is #(F^-1)'(5)#?
- Let #f(x)= -35x-x^5# and let g be the inverse function of f, how do you find a) g(0) b) g'(0) c) g(-36) d) g'(-36)?
- If g is the inverse of f and if #f(x)=x^3-5x^2+2x-1#, how do you calculate g'(-9) if the domain of f(x) is the set of integers less than 0? Thanks in advance for taking time to help me out. Steve?
- How do you find #(f^-1)'(a)# if #f(x)= x/sqrt{x-3}# and a = 4?
- How do you use the formula (ln f(x))'= f'(x) / f(x) to show that lnx and ln(2x) have the same derivative?
- Let #f(x) = x^2 - 4x - 5#, x > 2, how do you find the value of #(df^-1)/dx# (or the derivative of the inverse of f(x)), at the point x = 0 = f(5)?
- Given #f(x)= x^3 +2x -1#, how do you find #1/ [f^(-1)(2)]#?
- Let #f(x)=x^5+3x−2# and let #f^-1# denote the inverse of f, Then how do you find #(f^-1)'(2)#?
- Question #56aac
- Question #f6e45
- Question #13d2c
- Question #99f2e
- How do you differentiate #f(x)=(x-2)/(x^4+1)#?
- How do you differentiate #f(x)=(1/(1+x))^-1#?
- How do you differentiate #f(x)=1/(1+x^2)^2#?
- How do you differentiate #f(x)=x/(1+sqrtx)#?
- How do you differentiate #f(x)=sqrt((1-x)/(1+x))#?
- How do you differentiate #f(x)=sinx+cosx#?
- How do you differentiate #f(x)=3sinx+2cosx#?
- How do you differentiate #f(x)=xsinx+cosx#?
- How do you differentiate #f(x)=xcosx-sinx#?
- How do you differentiate #f(x)=sinx/x#?
- How do you differentiate #f(x)=cos^2x#?
- How do you differentiate #f(x)=sqrt(1-sin^2x)#?
- How do you differentiate #f(x)=sqrt((1-sinx)/(1+sinx))#?
- How do you differentiate #f(x)=cosx/sinx#?
- How do you differentiate #f(x)=sin2x-cos3x#?
- How do you differentiate #f(x)=sin(pi/x)#?
- How do you differentiate #f(x)=sin(cos(3x))#?
- How do you differentiate #f(x)=sinx^2/x^2#?
- How do you differentiate #f(x)=cos^2x-cosx^2#?
- Find the partial derivatives of #m = ln(qh-2h^ 2)+2e(q-h^2+3)^4-7 #?
- What is the formula for the #n#th derivative of #f(x) = x^(1/2)# ?
- Question #d9dbd
- Question #1d4dc
- How to find the derivative of the following function: f(t)= 1/ 2t^3? Thank you
- How do we differentiate #f(x)=sin^4(4x^2-6x+1)# using chain rule?
- Given that y=(k+x)cosx where k is a constant find d^2y\dx^2 +y and show that it's independent of k ?
- Question #05dd5
- We have #f:RR->RR,f(x)=|x|root(3)(1-x^2)#.How to find maximum domain of differentiability?
- Question #b49a3
- Question #5ef69
- What is the derivative of? : #sin^2(x/2) \ cos^2(x/2)#
- What is the derivative of # sinx/tanx# wrt #x#?
- Question #4492c
- Find dy/dx when (A) #y= sqrtlnx# , (B) y= arctan 5x ?