The derivative satisfies the following: • for for Based only on this information

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

Problem

The derivative g′(x)g'(x) satisfies the following: • g′(x)>0g'(x)>0 for x<−4x<-4 • g′(x)=0g'(x)=0 at x=−4x=-4 • g′(x)<0g'(x)<0 for −4<x<2-4<x<2 • g′(x)=0g'(x)=0 at x=2x=2 • g′(x)>0g'(x)>0 for x>2x>2 Based only on this information, determine the xx-coordinate(s) where gg attains a relative maximum.

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