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Beyond Horizon Set 3 Paper 2 · Q13

Paper 2Number & counting

Suppose n≥2n\ge 2 is a fixed positive integer and f(x)=xn∣x∣f(x)=x^n|x|, x∈Rx\in\mathbb{R}. Then

Aff is differentiable everywhere only when nn is even
Bff is differentiable everywhere except at 00 if nn is odd
Cff is differentiable everywhere
Dnone of the above is true

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