AP Calculus ABmediummcq1 pt

At which value of xx is f(x)=xf(x)=|x| not differentiable?

A.x=0x=0
B.x=1x=1
C.x=1x=-1
D.It is not differentiable at any value of xx

Explanation

Core Concept

At x=0x=0 the left-hand derivative is 1-1 and the right-hand derivative is 11, so the two-sided derivative does not exist. The graph has a corner there.

Correct Answer

Ax=0x=0

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