`f(x) = sin(x), [0,pi]` Determine whether the Mean Value Theorem can be applied to `f` on the closed interval `[a,b]`. If the Mean Value Theorem can be applied, find all values of `c` in the open interval `(a,b)` such that `f'(c) = (f(b) - f(a))/(b - a)`. If the Mean Value Theorem cannot be applied, explain why not.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

"it is `pi/2` ", some bug occured.

Yes , it can. The function f is contionuous on ` [0, pi ]` and is differentiable on `(0, pi )`, which are...

(The entire section contains 2 answers and 78 words.)

Unlock This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial
Approved by eNotes Editorial Team