differentiation

Related Questions

• If $y = {(\sin x)^{{{(\sin x)}^{(\sin x)......\infty }}}}$, then $\frac{{dy}}{{dx}} = $

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• If $F(u)=f(x,\,y,\,z)$ be a homogeneous function of degree $n$ in $x,\,y,\,z$ then $x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}+z\frac{\partial u}{\partial z}=$

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• If ${x^y}.{y^x} = 1$, then $\frac{{dy}}{{dx}}$=

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• If the volume of a spherical balloon is increasing at the rate of $900 cm^3$ per sec, then the rate of change of radius of balloon at instant when radius is 15cm [in cm/sec]

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• If $y=a\cos \,(\log x)+b\sin \,(\log x)$ where $a,\,b$ are parameters then ${{x}^{2}}{y}''\,+\,x{y}'\,=$

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