differentiation

Related Questions

• 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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• $\frac{d}{dx}{{\tan }^{-1}}\left[ \frac{3{{a}^{2}}x-{{x}^{3}}}{a({{a}^{2}}-3{{x}^{2}})} \right]$at $x=0$is

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• If $f(x)=k{{x}^{3}}-9{{x}^{2}}+9x+3$is monotonically increasing in each interval, then

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• If $x+y=16$ and ${{x}^{2}}+{{y}^{2}}$ is minimum, then the values of x and y are

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• $2{{x}^{3}}-6x+5$ is an increasing function if

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