differentiation

Related Questions

• If $xy={{c}^{2}},$ then minimum value of $ax+by$ is

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• A stone thrown vertically upwards rises $s$ metre in $t$ seconds, where $s=80t-16{{t}^{2}}$ , then the velocity after 2 seconds 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 length of the side of a square sheet of metal is increasing at the rate of $4cm/\sec $ . The rate at which the area of the sheet is increasing when the length of its side is 2 cm, is

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• Let $g(x)$ be the inverse of the function $f(x)$ and $f'(x) = \frac{1}{{1 + {x^3}}}$. Then $g'(x)$ is equal to

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