The Mean Value Theorem

Rolle's Thm on a slant!  Don't forget, when solving MVT problems, you need to show three things:

1. That f(x) is cont. on [a,b]
2. That f(x) is differentiable on (a,b) 
3. That there is AT LEAST one point between a and b, such that the derivative is equal to the slope between (a, f(a)) and (b, f(b)).

Hint:  The last problem asks you to show that the car MUST have been going that fast at least once...you can do that using the MVT.  

Two MVT Problems