# Relationship between First and Second Derivatives of a Function - Page 5

Questions

- How do you find all local maximum and minimum points using the second derivative test given #y=6x+sin3x#?
- What is the second derivative of #f(x)=-sec2x-cotx #?
- How do you find local maximum value of f using the first and second derivative tests: #f(x) = x^(3) - 6x^(2) + 5#?
- What is the second derivative of #f(x) = ln (x-x^2) #?
- What is the second derivative of #f(x)= secx^2#?
- What is the first and second derivative of #1/(x^2-x+2)#?
- What is the second derivative of #f(x)= sec^2x#?
- What is the second derivative of #f(x)= ln sqrt(e^x)#?
- What does the 2nd Derivative Test tell you about the behavior of #f(x) = x^4(x-1)^3# at these critical numbers?
- How do you find local maximum value of f using the first and second derivative tests: #f(x)= x^2 + 8x -12#?
- How do you find the second derivative for the implicit equation #x^2+y^2 = a^2#?
- What is the second derivative of #f(x)= 8/x-2x^3#?
- What is the second derivative of #f(x)=cos(1/x) #?
- How do you find all local maximum and minimum points using the second derivative test given #y=x^2-x#?
- What is the second derivative of #f(x)= 1/x^3-x^3#?
- What is the second derivative of #f(x)=3x^3-18x^2+6x-2 #?
- What is the second derivative of #f(x)= ln (x+e^x)#?
- What is the second derivative of #f(x)= sin x#?
- 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#?
- 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?