Questions in differentiation

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If $x = {t^2}$, $y = {t^3}$, then $\frac{{{d^2}y}}{{d{x^2}}}$ =
If $x = a\sin \theta $ and $y = b$$\cos \theta ,$ then $\frac{{{d^2}y}}{{d{x^2}}}$ is
Let $y = {t^{10}} + 1$and $x = {t^8} + 1,$then $\frac{{{d^2}y}}{{d{x^2}}}$is
If $3\sin (xy) + 4\cos (xy) = 5$, then $\frac{{dy}}{{dx}} = $
If ${x^2}{e^y} + 2xy{e^x} + 13 = 0$, then dy/dx =
If $x = a{\cos ^3}\theta ,y = a{\sin ^3}\theta $, then $\sqrt {1 + {{\left( {\frac{{dy}}{{dx}}} \right)}^2}} = $
If ${x^3} + {y^3} - 3axy = 0$, then $\frac{{dy}}{{dx}}$ equals
If $x = a(t + \sin t)$and $y = a(1 - \cos t)$, then $\frac{{dy}}{{dx}}$ equals
If $x = \frac{{2\,t}}{{1 + {t^2}}},\,\,y = \frac{{1 - {t^2}}}{{1 + {t^2}}},$then $\frac{{d\,y}}{{d\,x}}$ equals
If sin(x+y)=log(x+y), then $\frac{{dy}}{{dx}}$=

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