Calculate the derivative of .

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Calculate the derivative of f(x)=arctan⁡xf(x)=\arctan x. (a) x1+x2\dfrac{x}{1+x^{2}} (b) sec⁡2x\sec^{2}x (c) 11+x2\dfrac{1}{1+x^{2}} (d) 11−x2\dfrac{1}{\sqrt{1-x^{2}}}

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