A piecewise linear function satisfies and

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A piecewise linear function gg satisfies g(0)=2g(0)=2 and g(3)=8g(3)=8, and is linear on the closed interval [0,3][0,3]. For 3<x≤53<x\le 5, the value of gg remains constant at 88. (a) Find g′(3−)g'(3^-). (b) Find g′(3+)g'(3^+). (c) Find g′(4)g'(4).

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