Consider the piecewise-defined function h(x)= cases 3x+2, & x 1, 3-x, & x>1

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

Problem

Consider the piecewise-defined function h(x)={3x+2,x≤1,3−x,x>1.h(x)=\begin{cases} 3x+2, & x\le 1,\\ 3-x, & x>1. \end{cases} Determine all xx-values at which hh is not differentiable.

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