Suppose is differentiable and

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

Problem

Suppose ff is differentiable and f′(2)<0f'(2)<0. Let F(x)=∫0xf(t) dtF(x)=\displaystyle\int_{0}^{x} f(t)\,dt. Determine whether the graph of FF is concave up or concave down at x=2x=2.

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