Question

Use the second derivative test to find the relative extrema for f(x) = x^4 - 2x^2 + 3

Answer 1

You'll need to find the critical values of this function first, and then test them, one by one, in the second derivative. Are you prepared to do that?

Answer 2

Minimum at (1, 2) and (-1, 2); maximum at (0, 3)

Answer 3

Your critical values are {-1, 0, 1}. yes. What does the "second derivative test" involved?

Answer 4

In other words, what info would you expect from "testing" these 3 critical values in the 2nd derivative?

Answer 5

Idk use the first and second derivatives

Answer 6

I got it though nvm thanks!

Answer 7

Case closed? Or want to discuss the "second derivative test?"