The number of points at which the function does not have a derivative in the interval

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

Problem

The number of points at which the function f(x)=∣x−0.5∣+∣x−1∣+tan⁡xf(x) = |x-0.5| + |x-1| + \tan x does not have a derivative in the interval (0,2)(0, 2), is (a) 1 (b) 2 (c) 3 (d) 4

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