Question $1$

Find $\frac{d^{2}y}{(d)x^2}$ in terms of $x$ and $y.$

$x^2+y^2=12$

$\frac{d^{2}y}{(d)x^2}=\frac{\frac{x^2}{y}+y}{y^2}$

$\frac{d^{2}y}{(d)x^2}=-\frac{\frac{x^2}{y}+y}{y^2}$

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

$\frac{d^{2}y}{(d)x^2}=-\frac{12}{y^2}$