If , show that exists for all real and find…

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

Problem

18. If

f(x)=|x|^{3}

, show that

f^{\prime \prime}(x)

exists for all real

x

and find it.

Related theory

Higher-Order Derivatives
Advanced Differentiation
Derivative Foundations
Second order derivatives
Continuity and Differentiability

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