Question

Find all values of x satisfying the Mean Value
Theorem for
f(x) = x^3
on [0, 1].

Answer 1

Ok first we use the mean value theorem equation

\[f(c)=\frac{ 1 }{ b-a }\int\limits_{a}^{b}f(x) dx\]

Answer 2

so b=1 and a=0

Answer 3

and f(x)=x^3

Answer 4

Plug in those things into the equation

Answer 5

Then tell me the result