State and proof Mean Value Theorem

The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b].

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn