differentiation

Related Questions

• If $y = 1 + x + \frac{{{x^2}}}{{2!}} + \frac{{{x^3}}}{{3!}} + .....\infty ,$then $\frac{{dy}}{{dx}} = $

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• Function $f(x)=\frac{4{{x}^{2}}+1}{x}$ is decreasing for interval

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• If $y = {\sin ^{ - 1}}(x\sqrt {1 - x} + \sqrt x \sqrt {1 - {x^2})} ,$then $\frac{{dy}}{{dx}} = $

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• 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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• The differential coefficient of the given function ${\log _e}\left( {\sqrt {\frac{{1 + \sin x}}{{1 - \sin x}}} } \right)$ with respect to x is

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