Using the power rule, the derivative of $6x^3$ is $18x^2$. For $7y^3$, we use the chain rule, which gives us $21y^2\frac{dy}{dx}$. On the right side, we use the product rule to differentiate $13xy$, which gives us $13x\frac{dy}{dx} + 13y$.
So, we have:
$$18x^2 +
Show more…