Which of the following functions is differentiable at ?

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

Problem

Which of the following functions is differentiable at x=0x=0? (1) cos⁡(∣x∣)+∣x∣\cos(|x|)+|x| (2) cos⁡(∣x∣)−∣x∣\cos(|x|)-|x| (3) sin⁡(∣x∣)+∣x∣\sin(|x|)+|x| (4) sin⁡(∣x∣)−∣x∣\sin(|x|)-|x|

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