Question

If f(x) = |(x^2 − 4)(x^2 + 2)|, how many numbers in the interval [0, 1] satisfy the conclusion of the Mean Value Theorem?

a: None
b: 1
c: 2
d: 3

Answer 1

@ganeshie8

Answer 2

\[f'(x) = \frac{ f(b)-f(a) }{ b-a }\] MVT
Your interval is [0,1] \[f(x) = |(x^2-4)(x^2+2)| = |x^4-2x^2-8| = -x^4+2x^2+8\] now you can just find the derivative using the MVT.

Answer 3

i got: None! a :)