differentiation

Related Questions

• The sufficient conditions for the function $f:R\to R$ is to be maximum at $x=a$ , will be

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• If ${{a}^{2}}{{x}^{4}}+{{b}^{2}}{{y}^{4}}={{c}^{6}},$ then maximum value of xy is

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• If $y = {\cos ^{ - 1}}\cos (|x| - f(x)),$ where $$ $f(x)\left\{ \begin{array}{l} = 1\,,\,{\rm{if}}\,\,\,x > 0\\ = - 1\,,\,{\rm{if}}\,\,\,x < 0\\= 0\,,\,{\rm{if}}\,\,\,x = 0 \end{array} \right.$, then ${\left. {\frac{{dy}}{{dx}}} \right|_{x = \frac{{5\pi }}{4}}}$ is

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• The function $\sin x-\cos x$is increasing in the interval

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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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