# How do you determine if the function #sqrt (x(1-x))# defined on the interval [0,1] satisfies the hypotheses of the Mean Value Theorem, and then find the value or values that satisfy the equation #(f(b)-f(a))/(b-a)=f'(c)#?

##### 1 Answer

Oct 9, 2015

Recall the hypotheses and answer the question.

#### Explanation:

**Hypothesis 1:**

Is the function in this question contiuous on

**Hypothesis 2:**

Is the function in this question differentiable on

If these are true, you have some algwbra to do.

Find

Now find

Set

Any solution in the interval