differentiation

Related Questions

• If $y={{\left( x+\sqrt{1+{{x}^{2}}} \right)}^{n}},$ then $(1+{{x}^{2}})\frac{{{d}^{2}}y}{d{{x}^{2}}}+x\frac{dy}{dx}$ 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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• If $f(x)={{\cot }^{-1}}\left( \frac{{{x}^{x}}-{{x}^{-x}}}{2} \right)\,,$then $f'(1)$ is equal to

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• Local maximum and local minimum values of the function $(x-1){{(x+2)}^{2}}$ are

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• If $u={{\tan }^{-1}}\left( \frac{{{x}^{3}}+{{y}^{3}}}{x-y} \right)$, then $x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=$

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