Suppose a function is differentiable on and its derivative satisfies for ,

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

Problem

Suppose a function ff is differentiable on (−3,2)(-3,2) and its derivative satisfies f′(x)>0f'(x)>0 for −3<x<0-3<x<0, f′(0)=0f'(0)=0, and f′(x)<0f'(x)<0 for 0<x<20<x<2. a) On which sub-interval of (−3,2)(-3,2) is ff strictly increasing? b) On which sub-interval of (−3,2)(-3,2) is ff strictly decreasing?

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