Which of the following functions is continuous but NOT 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 continuous but NOT differentiable at x=0x=0? (a) h(x)=x2h(x)=x^{2} (b) h(x)=∣x∣h(x)=|x| (c) h(x)=∣x∣3h(x)=|x|^{3} (d) h(x)=1xh(x)=\dfrac{1}{x}

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