differentiation

Related Questions

• If $x = \sin t\cos 2t$ and $y = \cos t\sin 2t$, then at $t = \frac{\pi }{4},$ the value of $\frac{{dy}}{{dx}}$ is equal to

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• If $x = \frac{{3at}}{{1 + {t^3}}},y = \frac{{3a{t^2}}}{{1 + {t^3}}},$then $\frac{{dy}}{{dx}}$=

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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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• The function $f(x)=\log (1+x)-\frac{2x}{2+x}$is increasing on

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• The speed $v$ of a particle moving along a straight line is given by $a+b{{v}^{2}}={{x}^{2}}$ (where x is its distance from the origin). The acceleration of the particle is

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