Find the values


Find $\frac{\mathrm{dy}}{\mathrm{dx}}$ in each of the following:

$x y=c^{2}$


We are given with an equation $x y=c^{2} ;$ we have to find $\frac{d y}{d x}$ of it, so by differentiating the equation on both sides with respect to $x$, we get,

By using the product rule on the left hand side,


$x \frac{d y}{d x}+y(1)=0$


Or we can further solve it by putting the value of $y$,

$\frac{d y}{d x}=\frac{-c^{2}}{x^{2}}$

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