differentiation

Related Questions

• If $y={{\cos }^{-1}}\left( \frac{3\cos x+4\sin x}{5} \right)$, then $\frac{dy}{dx}=$

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• $\frac{d}{{dx}}\left( {{{\tan }^{ - 1}}\sqrt {\frac{{1 + \cos \frac{x}{2}}}{{1 - \cos \frac{x}{2}}}} } \right)$is equal to

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• Let f and g be differentiable functions satisfying $g'(a) = 2,$ $g(a) = b$ and $fog = I$(identity function). Then $f'(b)$ is equal to

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• If $z={{\sin }^{-1}}\left( \frac{x+y}{\sqrt{x}+\sqrt{y}} \right)$, then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}$ is equal to

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• If $x = 2\cos t - \cos 2t$,$y = 2\sin t - \sin 2t$, then at $t = \frac{\pi }{4},\frac{{dy}}{{dx}} = $

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