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12.4 Exercise 129

Avg difficulty 2.5

With the aid of a graphing utility, explain why the function is not differentiable everywhere on its domain. Specify the points where the function is not differentiable.

f(x)= x | x | f \left(x\right) = \frac{x}{\left|x\right|}

OpenStax Precalculus 2e, 12.4 Derivatives, exercise 129

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.