Physics questions

Step 1: Find the derivative $\frac{dy}{dx}$ of the curve $x^2 + x^2y = 12$.
The equation of the curve is $x^2 + x^2y = 12$.
Differentiate both sides with respect to $x$ using implicit differentiation. Remember to use the product rule for $x^2y$:

$$\frac{d}{dx}(x^2) + \frac{d}{dx}(x^2y) = \frac{d}{dx}(12)$$ $$2x + (2xy + x^2\frac{dy}{dx}) = 0$$ $$$$