If is continuous on and

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

Problem

If ff is continuous on [1,4][1,4] and F(x)=∫1xf(t) dtF(x)=\displaystyle\int_{1}^{x} f(t)\,dt, then ddx[F(x)]\dfrac{d}{dx}\bigl[F(x)\bigr] equals (a) F(x)F(x) (b) ∫1xf′(t) dt\displaystyle\int_{1}^{x} f'(t)\,dt (c) f(x)f(x) (d) f′(x)f'(x)

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