Prove that the function given by f(x)=|x-1|

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

9. Prove that the function ff given by f(x)=∣x−1∣,x∈Rf(x)=|x-1|, x \in \mathbf{R} is not differentiable at x=1x=1.

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