Thread: Exponential function

How to complete the following table?

And also:
a) f(x) = 2x^3 + 3x^2 - 12x + 6 has critical points at x = -2 and x = 1. Use the second derivative test to determine whether these are local maximum or local minimum values.

b) how to Calculate f(-2) and f(1) . Briefly explain the appropriateness of these two values

Originally Posted by Snowboarder

How to complete the following table?

And also:
a) f(x) = 2x^3 + 3x^2 - 12x + 6 has critical points at x = -2 and x = 1. Use the second derivative test to determine whether these are local maximum or local minimum values.

b) how to Calculate f(-2) and f(1) . Briefly explain the appropriateness of these two values

taking the derivative we get



So our critical points are -2 and 1

now taking the 2nd derivative we get



Now we check the above critical points

so this is a max

so this is a min.

Good luck.