Let f(x)=x∣x∣,g(x)=sinx and h(x)=(g∘f)(x). Then
Held on 11 Apr 2014 · Verified 6 Jul 2026.
h(x) is not differentiable at x=0.
h(x) is differentiable at x=0, but h′(x) is not continuous at x=0
h′(x) is continuous at x=0 but it is not differentiable at x=0
h′(x) is differentiable at x=0
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