differentiation

Related Questions

• If $f(x)=\frac{1}{x+1}-\log \,(1+x),\,x>0,$then $f$is

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• If $y = \frac{{{e^x}\log x}}{{{x^2}}}$, then $\frac{{dy}}{{dx}} = $

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• If ${x^m}{y^n} = {(x + y)^{m + n}}$then ${\left. {\frac{{dy}}{{dx}}} \right|_{x = 1,y = 2}}$ is equal to

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• The volume V and depth x of water in a vessel are connected by the relation $V=5x-\frac{{{x}^{2}}}{6}$ and the volume of water is increasing at the rate of $5c{{m}^{3}}/\sec $ , when $x=2cm$ . The rate at which the depth of water is increasing, is

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• $\frac{d}{{dx}}\left[ {\frac{{{e^{ax}}}}{{\sin (bx + c)}}} \right] = $

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