Question

Determine if the following statements are true or false.

a) If f'(x)=g'(x) for all x and f(13)=g(13), then f(x)=g(x).

b) If f is differentiable and f(5)0. c) If f'(x)=g'(x) for all x in (a,b), then there is a constant K such that f(x)=g(x)+K on (a,b).

Answer 1

use the mean value theorem

Answer 2

the whole stataments r true