Explain, in one or two sentences, how the sign of on an interval relates to the…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Explain, in one or two sentences, how the sign of

f'(x)

on an interval relates to the concavity of the accumulation function

F(x)=\displaystyle\int_{0}^{x} f(t)\,dt

on that same interval.