Question

If c is the number that satisfies the conclusion of the Mean Value Theorem for f(x)=x^3-2x^2 on the interval 0<=x<=2, find c.

Answer 1

\[
f'(c) = \frac {f(2)-f(0)}{2-0}
\]

Answer 2

But I got 0 for that.

Answer 3

I don't get it. The answer should be 4/3.

Answer 4

Sorry, hang on

Answer 5

\[
f'(x)=3 x^2-4 x=0\\
x(3 x -4)=0\\
x=0 \\
x=\frac 4 3
\]

Answer 6

Get it. Thanks.

Answer 7

YW