differentiation

Related Questions

• If $y={{\sin }^{2}}\alpha +{{\cos }^{2}}(\alpha +\beta )+2\sin \alpha \sin \beta \cos (\alpha +\beta )$, then $\frac{{{d}^{3}}y}{d{{\alpha }^{3}}}$ is, (keeping $\beta $as constant)

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• $\frac{d}{{dx}}\left[ {{{\tan }^{ - 1}}\left( {\frac{{a - x}}{{1 + ax}}} \right)} \right] = $

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• If $y = \sqrt {\sin x + y} ,$ then $\frac{{dy}}{{dx}}$ equals to

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• The least value of k for which the function ${{x}^{2}}+kx+1$is an increasing function in the interval $1 < x < 2$is

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• The sum of two numbers is fixed. Then its multiplication is maximum, when

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