differentiation

Related Questions

• The derivative of ${{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,$w.r.t. ${{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$ is

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• If $f(x)={{\cot }^{-1}}\left( \frac{{{x}^{x}}-{{x}^{-x}}}{2} \right)\,,$then $f'(1)$ is equal to

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• $\frac{d}{{dx}}[{\sin ^n}x\cos \,nx] = $

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• The minimum value of $\frac{\log x}{x}$ in the interval $[2,\,\infty )$ is

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• The area of the triangle formed by the coordinate axes and a tangent to the curve $xy={{a}^{2}}$ at the point $({{x}_{1}},{{y}_{1}})$ on it is

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