differentiation

Related Questions

• Let $f(x) = {e^x}$, $g(x) = {\sin ^{ - 1}}x$ and $h(x) = f(g(x)),$ then $h'(x)/h(x) = $

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• If $y = {\tan ^{ - 1}}\left[ {\frac{{\sin x + \cos x}}{{\cos x - \sin x}}} \right]\,,$ then $\frac{{dy}}{{dx}}$ is

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• If $u={{e}^{-{{x}^{2}}-{{y}^{2}}}}$, then

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• If $y = \frac{1}{4}{u^4},u = \frac{2}{3}{x^3} + 5$, then $\frac{{dy}}{{dx}} = $

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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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