Question

Given the derivative, f ‘(x) = -6x2 + 12x

a.State the critical values where
f ‘(x) =0

b. Find the second derivative, f “(x)

c. Use the second derivative to test the critical values found in part a.

Analyze the results to determine whether these critical values produce a relative maximum or minimum.

Answer 1

for part a,
set f'(x) = 0 and solve x

Answer 2

f'(x) = 0
-6x^2 + 12x = 0

Answer 3

solve x