(ii)stationary points (maximum, minimum, or inflection), and write down the value of the function at these two points.Use differentiation to determine the nature of each of the two[30 \text {

For the equation } D x y=x^{A}+y^{3}, \text { use implicit differentiation to } \text { determine an expression for } \frac{d y}{d x} \text { in terms of } x \text { and } y \text {. } \text { This question concerns the function } y=f(x)=A x^{3}+B x^{2}-C \text {. } Show that the curve y = f(x) has two stationary points and determine the (x,y) coordinates of these points.