Relationship between First and Second Derivatives of a Function
Topic Page
Relationship between First and Second Derivatives of a Function
Questions
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What is the relationship between the First and Second Derivatives of a Function?
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Question #64fc4
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What are the first two derivatives of #y = 2sin(3x) - 5sin(6x)#?
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What is the second derivative of the function #f(x)=sec x#?
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If #f(x)=sec(x)#, how do I find #f''(π/4)#?
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What is the second derivative of #g(x) = sec(3x+1)#?
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How do you use the second derivative test to find the local maximum and minimum
for #f(x)=x^4-4x^3+4x^2+6#?
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What is the first and second derivative of #1/(x^2-x+2)#?
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What is the second derivative of #x/(x-1)# and the first derivative of #2/x#?
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What does the 2nd Derivative Test tell you about the behavior of #f(x) = x^4(x-1)^3# at these critical numbers?
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F(x)=(x^2-2x+4)/ (x-2),
f' (x)=(x^2-4x)/(x-2)^2 ,
f'' (x)=8/(x-2)^3
How to find the domain of f(x), x and y-intercepts, vertical asymptotes, the critical numbers, concave up and down and Sketch graph ?
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Question #ab876
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What is the second derivative for #y(x)=5e^(pi x)+cos (y(x))# ?
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What is the second derivative of #f(x)= sec x#?
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What is the second derivative of #f(x)= sin x#?
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What is the second derivative of #f(x)= secx^2#?
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What is the second derivative of #f(x)= sec^2x#?
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What is the second derivative of #f(x)= 3x^(2/3)-x^2#?
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What is the second derivative of #f(x)= 8/x-2#?
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What is the second derivative of #f(x)= 8/x-2x^3#?
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What is the second derivative of #f(x)= 1/x^3-x^3#?
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What is the second derivative of #f(x)= sqrt(5+x^6)/x#?
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What is the second derivative of #f(x)= ln (x^2+2)#?
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What is the second derivative of #f(x)= ln (x^2+2x)#?
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What is the second derivative of #f(x)= ln (x^3+e^x)#?
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What is the second derivative of #f(x)= ln (x+e^x)#?
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What is the second derivative of #f(x)= ln sqrt(x+e^x)#?
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What is the second derivative of #f(x)= ln sqrt(e^x)#?
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What is the second derivative of #f(x)= ln sqrt(xe^x)#?
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What is the second derivative of #f(x)= ln sqrt(x/e^x)#?
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What is the second derivative of #f(x)= ln sqrt(x)#?
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What is the second derivative of #f(x)= ln sqrt(3x-7)#?
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What is the second derivative of #f(x)= e^sqrt(3x-7)#?
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What is the second derivative of #f(x)= sin(sqrt(3x-7))#?
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What is the second derivative of #f(x)= cos(sqrt(3x-7))#?
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What is the second derivative of #f(x)= 2x^3- sqrt(4-x^2)#?
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What is the second derivative of #f(x)= 2x^3- sqrt(4x-5)#?
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What is the second derivative of #f(x)= xe^(x^2)#?
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What is the second derivative of #f(x)= xe^(x^3)#?
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What is the second derivative of #f(x)= e^(x^3)#?
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What is the second derivative of #f(x)= (x+1)/(x-1)#?
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What is the second derivative of #f(x)=x/(x^2+1)#?
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What is the second derivative of #f(x)=(x-1)/(x^2+1)#?
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What is the second derivative of #f(x)=x/(x^2 + 1) ^2#?
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What is the second derivative of #f(x)=cos(e^-x)#?
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What is the second derivative of #f(x)=x^8 + 2#?
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What is the second derivative of #f(x)=tan(3x)#?
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What is the second derivative of #f(x)=cot(3x^2-x)#?
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What is the second derivative of #f(x)=csc(3x^2-x)#?
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What is the second derivative of #f(x)=cos(-x)-sinx#?
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What is the second derivative of #f(x)=cos(-x)#?
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What is the second derivative of #f(x)=(x^2-x^3)^(1/3)#?
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What is the second derivative of #f(x)=4x^3-3x^2+9x-1
#?
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What is the second derivative of #f(x)=15x^3-23x^2+9x-1
#?
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What is the second derivative of #f(x)=cos(x^2)
#?
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What is the second derivative of #f(x)=sin(x^2)
#?
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What is the second derivative of #f(x)=sin(1/x^2)
#?
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What is the second derivative of #f(x)=cos(1/x)
#?
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What is the second derivative of #f(x)=cos(-1/x^3)
#?
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What is the second derivative of #f(x)=e^x/x^2
#?
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What is the second derivative of #f(x)=3x^3-18x^2+6x-2
#?
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What is the second derivative of #f(x)=-csc^2x
#?
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What is the second derivative of #f(x)=-cot^2x
#?
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What is the second derivative of #f(x)=-sec2x-cotx
#?
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What is the second derivative of #f(x)=x^2/(x^2+3)
#?
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What is the second derivative of #f(x)=x^2/(x+3)
#?
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What is the second derivative of #f(x)=x/(x^2+1)
#?
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What is the second derivative of #f(x)=e^x + e^(-x / 2
#?
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What is the second derivative of #f(x)=(e^x + e^-x) / 2
#?
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What is the second derivative of #f(t) = (3e^-2t) - (5e^-t)
#?
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What is the second derivative of #f(x) = e^(-x^2
#?
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What is the second derivative of #f(x) = e^(-x^2 -3x)
#?
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What is the second derivative of #f(x) = ln x/x^2
#?
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What is the second derivative of #f(x) = ln (x-x^2)
#?
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What is the second derivative of #f(x) = x^2ln x
#?
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What is the second derivative of #f(x) = 6lnx - 5/ x^4
#?
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How do you find the local maximum and minimum values of #f(x) = x / (x^2 + 81)# using both the First and Second Derivative Tests?
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How do you find the local maximum and minimum values of # f(x) = 2 x + 3 x ^{ -1 } # using both the First and Second Derivative Tests?
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How do you find the local maximum and minimum values of #f(x) = (3x) / (x² - 1)# using both the First and Second Derivative Tests?
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How do you find the local maximum and minimum values of # f(x)=x^3 + 6x^2 + 12x -1# using both the First and Second Derivative Tests?
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How do you find the local maximum and minimum values of #f(x) = 5 + 9x^2 − 6x^3# using both the First and Second Derivative Tests?
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How do you find the local maximum and minimum values of #f(x) = 2x^3 - 5x +1# in the the interval is (-3,3)?
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How do you find the local maximum and minimum values of # f ' (x) = (x-8)^9 (x-4)^7 (x+3)^7#?
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How do you find the local maximum and minimum values of #g(x)=x^3+5x^2-17x-21#?
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How do you find the local maximum and minimum values of #f ' (x) = (x^2 -9)#?
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How do you find the local maximum and minimum values of #f(x)=2x^3 + 5x^2 - 4x - 3#?
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How do you find the local maximum and minimum values of # f(x) = 7x + 9x^(-1)#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x)=x+sqrt(2-x)#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x) = 4x^3 + 3x^2 - 6x + 1#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x)= x^2 + 8x -12#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x)= 5x - 3#?
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How do you find local maximum value of f using the first and second derivative tests: #1/3(y-2)=sin1/2(x-90*) #?
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How do you find local maximum value of f using the first and second derivative tests: #f(x) = x^(3) - 6x^(2) + 5#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x)=x^3-2x+5# on the interval (-2,2)?
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How do you find local maximum value of f using the first and second derivative tests: #2x^3-3x^2-36x-3#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x) = e^x(x^2+2x+1)#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x) = x^5 - 5x + 5#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x) = x / (x^2 + 9)#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x) = 7e^x#?
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How do you find local maximum value of f using the first and second derivative tests: #f(x) = x + sqrt(9 − x) #?
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How do you find and classify all the critical points and then use the second derivative to check your results given #y=x^2+10x-11#?
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How do you find and classify all the critical points and then use the second derivative to check your results given #h(t)=-4.9t^2+39.2t+2#?
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What is the second derivative of the function #f(x) = (x) / (x - 1)#?
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How do you find all local maximum and minimum points using the second derivative test given #y=x^2-x#?
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How do you find all local maximum and minimum points using the second derivative test given #y=2+3x-x^3#?
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How do you find all local maximum and minimum points using the second derivative test given #y=x^3-9x^2+24x#?
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How do you find all local maximum and minimum points using the second derivative test given #y=4x+sqrt(1-x)#?
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How do you find all local maximum and minimum points using the second derivative test given #y=x^5-x#?
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How do you find all local maximum and minimum points using the second derivative test given #y=6x+sin3x#?
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How do you find all local maximum and minimum points using the second derivative test given #y=x+1/x#?
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How do you find all local maximum and minimum points using the second derivative test given #y=(x+5)^(1/4)#?
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How do you find all local maximum and minimum points using the second derivative test given #y=tan^2x#?
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How do you find all local maximum and minimum points using the second derivative test given #y=cos^2x-sin^2x#?
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How do you find all local maximum and minimum points using the second derivative test given #y=sin^3x#?
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What's the second derivative of #ln(f(x))#?
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Question #0d05a
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Question #36537
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Question #745b7
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Let #y = f(x)# be a twice-differentiable function such that #f(1) = 2# and . What is the value of #(d^2y)/(dx^2)# at # x = 1#?
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Find #y′′# for the curve #ln(x) + y = ln(x^2) − y^2# at #y = 0#?
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Find y′′ for the curve ln(x) + y = ln(x^2) − y^2 at y = 0?
Note that the domain for x is that x > 0. There will only be one point on the curve with y = 0
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If #y=2x+tanx#, find #y'''# third derivative of #y#?
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How do you find the second derivative for the implicit equation #x^2+y^2 = a^2#?
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Question #57194
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Question #6cafa
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Question #014c0
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Question #e91c7
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Question #07780
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If #f(x)=secx# then calculate #f''(pi/3)#?
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What is the second derivative of? : #2(x^2-1)^3#
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A round balloon is being blown up with helium so that t seconds after starting, the radius is 2t cm. Remember that for a sphere with a radius r, V=(4/3)(pi)r^3 and SA= 4(pi)r^2. What is the equation for V'(r)?
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Show that if #y= (sin^-1 x)^2# then #(1 - x^2) (d^2y)/(dx^2) - xdy/dx - 2 = 0# ?
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Given that #y= e^-x sinbx#, where #b# is a constant, show that # (d^2y)/(dx^2) + 2dy/dx + ( 1 + b^2) y = 0 # ?
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Prove that if #y= sinx/x#, show that #(d^2y)/(dx^2) + 2/x dy/dx + y = 0# ?
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Let #siny + cosx = 1# then find #(d^2y)/(dx^2)#?