differentiation

Related Questions

• If $y = \frac{{{{\sin }^{ - 1}}x}}{{\sqrt {1 - {x^2}} }}$, then $(1 - {x^2})\frac{{dy}}{{dx}}$ is equal to

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• If $z=\sec \,(y-ax)+\tan (y+ax),$ then $\frac{{{\partial }^{2}}z}{\partial {{x}^{2}}}-{{a}^{2}}\frac{{{\partial }^{2}}z}{\partial {{y}^{2}}}=$

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• If $y = {e^{(1 + {{\log }_e}x)}}$, then the value of $\frac{{dy}}{{dx}} = $

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• The function $f(x)={{\tan }^{-1}}(\sin x+\cos x)$, $x>0$ is always an increasing function on the interval

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• The maximum value of $f(x)=\frac{x}{4+x+{{x}^{2}}}$ on $[-1,\,1]$ is

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