differentiation

Related Questions

• If $y = 3{x^5} + 4{x^4} + 2x + 3$, then

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• If$y = {\log _{\sin x}}(\tan x),$ then ${\left( {\frac{{dy}}{{dx}}} \right)_{\pi /4}} = $

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• The equations of motion of two stones thrown vertically upwards simultaneously are $s=19.6\,t-4.9\,{{t}^{2}}$ and $s=9.8\,t-4.9\,{{t}^{2}}$ respectively and the maximum height attained by the first one is h. When the height of the first stone is maximum, the height of the second stone will be

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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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• $\frac{d}{{dx}}\left( {{{\tan }^{ - 1}}\sqrt {\frac{{1 + \cos \frac{x}{2}}}{{1 - \cos \frac{x}{2}}}} } \right)$is equal to

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