## kimmy0394 Group Title Determine whether Rolle's Theorem can be applied to the function on the given interval; if so, find the value(s) of c guaranteed by the theorem. (Enter your answers as a comma-separated list. If Rolle's Theorem does not apply, enter DNE) f(x) = ln(5 − sin(x)) on [0, 2π] one year ago one year ago

1. nasryn Group Title

Do you know the conditions of Rolle's Theorem?

2. simone12103 Group Title

no i don't !

3. nasryn Group Title

The function has to be continuous and differentiable and f(a)=f(b)

4. Dido525 Group Title

I guess I can join in?

5. kimmy0394 Group Title

yeah i do but i tried and didn't get the right answer

6. satellite73 Group Title

just answered this question earlier on line class?

7. Dido525 Group Title

Okay so you know rolle's theorem states that if you have a continuous and differentiable function on [a,b] and (a,b) then there exists a number c where f'(c) is equal to zero on that interval.

8. Dido525 Group Title

So you would differentiate and set y= 0, then solve for x.

9. satellite73 Group Title

sinc $$sin(0)=\sin(2\pi)=0$$ you get $$f(0)=f(2\pi)=\ln(5)$$ take the derivative, set it equal to zero and solve for $$x$$

10. simone12103 Group Title

okay ! thanks for the help and yes online class :(