differentiation

Related Questions

• If $x = {t^2}$, $y = {t^3}$, then $\frac{{{d^2}y}}{{d{x^2}}}$ =

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• If $y = {\sin ^{ - 1}}\left( {\frac{{19}}{{20}}x} \right) + {\cos ^{ - 1}}\left( {\frac{{19}}{{20}}x} \right)$, then $\frac{{dy}}{{dx}} = $

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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 $\ln \,(x + y) = 2xy,$then $y'(0)$=

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• If $y=1-x+\frac{{{x}^{2}}}{2!}-\frac{{{x}^{3}}}{3!}+\frac{{{x}^{4}}}{4!}-$....., then $\frac{{{d}^{2}}y}{d{{x}^{2}}}=$

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