A point moves along $$y=x^2+2x.$$ At $x=2$, its $x$-coordinate increases at $3\text{ cm/s}$. F

Question

A point moves along $$y=x^2+2x.$$ At $x=2$, its $x$-coordinate increases at $3\text{ cm/s}$. Find the rate of change of its $y$-coordinate.

Accepted Answer

$\frac{\mathrm{d}y}{\mathrm{d}t}=18\text{ cm/s}$.

Differentiation