Consider the function below.

f(x) = 3x^4 - 20x^3 - 8

answer the question below

Part 1

Enter your answers as a list. If the set is empty, type DNE.

For what numbers does have a critical number?

Part 2

Compute the indicated values.

f"(0)=

f"(5)=

Part 3

If necessary, Apply the second derivative test to determine for what numbers the function has relative maximums and relative minimums.

List your answers.If the set is empty, type DNE.

Relative Maximums:

Relative Minimums: