differentiation

Related Questions

• If $u={{x}^{2}}{{\tan }^{-1}}\frac{y}{x}-{{y}^{2}}{{\tan }^{-1}}\frac{x}{y}$, then $\frac{{{\partial }^{2}}u}{\partial x\,\partial \,y}=$

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• If $y = \log {\left( {\frac{{1 + x}}{{1 - x}}} \right)^{1/4}} - \frac{1}{2}{\tan ^{ - 1}}x,$then $\frac{{dy}}{{dx}} = $

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• If $y = {x^2}\log x + \frac{2}{{\sqrt x }},$ then $\frac{{dy}}{{dx}} = $

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• A spherical balloon is being inflated at the rate of 35 cc/min. The rate of increase of the surface area of the balloon when its diameter is 14 cm is

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• Differential coefficient of ${\sec ^{ - 1}}x$ is

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