Which of the following is continuous everywhere in its domain but has atleast one…

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

Problem

Which of the following is continuous everywhere in its domain but has atleast one point where it is not differentiable? (1) f(x)=x1/3f(x) = x^{1/3} (2) f(x)=∣x∣xf(x) = \frac{|x|}{x} (3) f(x)=e−xf(x) = e^{-x} (4) f(x)=tan⁡xf(x) = \tan x

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