# How do you determine if rolles theorem can be applied to # f(x) = sin 2x# on the interval [0, (pi/2)] and if so how do you find all the values of c in the interval for which f'(c)=0?

##### 1 Answer

Apr 21, 2015

you do this by determining whether the hypothses for Rolle's Theorem (the "If" parts) are true for

**Hypothesis 1:** we want:

So, is

**Hypothesis 2:** we want:

So, is

**Hypothesis 3:** we want

So, is

**To find all values** of