Let for a differentiable function

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

Problem

Let A(t)=∫3tf(x) dxA(t)=\int_{3}^{t} f(x)\,dx for a differentiable function ff. Which of the following expressions equals A′(t)A'(t)? (a) F(t)F(t) (b) f(t)f(t) (c) f′(t)f'(t) (d) ∫3tf′(x) dx\displaystyle \int_{3}^{t} f'(x)\,dx

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