A function is composed of two straight-line segments: one from to and the other from to

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A function ff is composed of two straight-line segments: one from (0,1)(0,1) to (2,5)(2,5) and the other from (2,5)(2,5) to (5,−1)(5,-1). State the constant value of f′f' on each open interval 0<x<20<x<2 and 2<x<52<x<5, and give the single xx-value at which f′f' changes sign.

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