differentiation

Related Questions

• 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 displacement of a particle in time t is given by $s=2{{t}^{2}}-3t+1$ . The acceleration is

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• If $f(x) = mx + c,f(0) = f'(0) = 1$then $f(2) = $

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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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• Differential coefficient of ${{\sin }^{-1}}\frac{1-x}{1+x}w.r.t \sqrt{x}$is

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