differentiation

Related Questions

• The function $f(x)={{x}^{-x}},\,(x\,\in \,R)$ attains a maximum value at x =

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• The derivative of ${{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,$w.r.t. ${{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$ is

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• If $u={{\tan }^{-1}}\left( \frac{{{x}^{3}}+{{y}^{3}}}{x-y} \right)$, then $x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=$

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• The function $f(x)=|px-q|+r|x|,$ $x\in (-\infty ,\infty )$ where $p>0,q>0,r>0$ assumes its minimum value only at one point if

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• $\frac{d}{{dx}}\{ \cos (\sin {x^2})\} = $

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