# How do you determine all values of c that satisfy the conclusion of the mean value theorem on the interval [0,1] for #f(x) = (x)arcsin(x)#?

##### 1 Answer

Jan 31, 2017

You'll need some kind of numerical or technological method of solving

#### Explanation:

The

#f'(x) = (f(1)-f(0))/(1-0)# which is the same as

#f'(x) = (arcsin(1) - 0)/1 = pi/2# .

Since