Calculus Question

Question

if F(x) is an antiderivative of f(x), then F(x) is increasing when f(x) is positive.

true/false?

Answer 1

True. If F(x) is an antiderivative of f(x), then F'(x) = f(x). Therefore, F(x) is increasing when f(x) (or F'(x)) is positive.