differentiation

Related Questions

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

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• Let $f\,(x)=1+2{{x}^{2}}+{{2}^{2}}{{x}^{4}}+.....+{{2}^{10}}{{x}^{20}}$ , then $f(x)$ has

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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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• The points on the curve $y=12x-{{x}^{3}}$ at which the gradient is zero are

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• If $f(x) = \sqrt {1 + {{\cos }^2}({x^2})} $, then $f'\left( {\frac{{\sqrt \pi }}{2}} \right)$ is

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