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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• A ladder 10 m long rests against a vertical wall with the lower end on the horizontal ground. The lower end of the ladder is pulled along the ground away from the wall at the rate of 3 cm/sec. The height of the upper end while it is descending at the rate of 4 cm/sec is

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• If $y = {(\sin x)^{{{(\sin x)}^{(\sin x)......\infty }}}}$, then $\frac{{dy}}{{dx}} = $

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• x and y be two variables such that $x>0$ and$xy=1$ . Then the minimum value of $x+y$ is

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

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