differentiation

Related Questions

• If $y = {\tan ^{ - 1}}\sqrt {\frac{{1 + \cos x}}{{1 - \cos x}}} $, then $\frac{{dy}}{{dx}}$ is equal to

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• $\frac{d}{{dx}}{\left( {\sqrt x + \frac{1}{{\sqrt x }}} \right)^2} = $

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• If ${{z}^{2}}=\frac{{{x}^{1/2}}+{{y}^{1/2}}}{{{x}^{1/3}}+{{y}^{1/3}}}$ then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}=$

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• If $y=\sin px$ and ${{y}_{n}}$ is the $n^{th}$ derivative of $y$, then $\begin{vmatrix} y&{{y_1}}&{{y_2}}\\ {{y_3}}&{{y_4}}&{{y_5}}\\ {{y_6}}&{{y_7}}&{{y_8}} \end{vmatrix}$ is equal to

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• The function ${{x}^{5}}-5{{x}^{4}}+5{{x}^{3}}-1$ is

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