A differentiable function satisfies the following conditions: • elsewhere

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A differentiable function qq satisfies the following conditions: • q′(x)<0q'(x)<0 for −6<x<−2-6<x<-2 and 1<x<41<x<4, • q′(x)=0q'(x)=0 at x=−2x=-2 and x=1x=1, • q′(x)>0q'(x)>0 elsewhere. Determine all open intervals on which qq is increasing.

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