We use the chain rule and the product rule where necessary. The derivative of $x^{3}$ is $3x^{2}$, the derivative of $5x^{2}y$ is $5x^{2}\frac{dy}{dx}+10xy$, and the derivative of $2y^{2}$ is $4y\frac{dy}{dx}$. On the right side, the derivative of $4y$ is
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