Let be defined by

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let f:(−1,1)→Rf:(-1,1)\to\mathbb{R} be defined by f(x)=max⁡{−∣x∣,−1−x2}f(x)=\max\{-|x|,-\sqrt{1-x^2}\}. If KK is the set of all points at which ff is not differentiable, then KK has exactly: (a) Five elements (b) One element (c) Three elements (d) Two elements

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