For a continuous function and a differentiable function

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For a continuous function

f

and a differentiable function

g

, which of the following expressions is equal to

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

? (a)

f\bigl(g(x)\bigr)\,g'(x)

(b)

-f\bigl(g(x)\bigr)

(c)

-f\bigl(g(x)\bigr)\,g'(x)

(d)

f(x)