Let be continuous on an interval and let be differentiable on the same interval

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Let

f

be continuous on an interval and let

g

be differentiable on the same interval. Determine

\dfrac{d}{dx}\Bigl(\displaystyle \int_{g(x)}^{7} f(t)\,dt\Bigr)

in terms of

f

g

, and

g'(x)