differentiation

Related Questions

• The derivative of ${{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$ w.r.t. ${{\cot }^{-1}}\left( \frac{1-3{{x}^{2}}}{3x-{{x}^{2}}} \right)$ is

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• If $y = {\sec ^{ - 1}}\left( {\frac{{x + 1}}{{x - 1}}} \right) + {\sin ^{ - 1}}\left( {\frac{{x - 1}}{{x + 1}}} \right)$, then $\frac{{dy}}{{dx}} = $

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• The first derivative of the function $\left[ {{{\cos }^{ - 1}}\left( {\sin \sqrt {\frac{{1 + x}}{2}} } \right) + {x^x}} \right]$ with respect to x at x = 1 is

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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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• If $y = {\sin ^{ - 1}}\left( {\frac{{19}}{{20}}x} \right) + {\cos ^{ - 1}}\left( {\frac{{19}}{{20}}x} \right)$, then $\frac{{dy}}{{dx}} = $

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