A point moves along $$y=9-x^2.$$ At $x=1$, its $y$-coordinate decreases at $4\text{ cm/s}$. Fi

Question

A point moves along $$y=9-x^2.$$ At $x=1$, its $y$-coordinate decreases at $4\text{ cm/s}$. Find the rate of change of its $x$-coordinate.

Accepted Answer

$\frac{\mathrm{d}x}{\mathrm{d}t}=2\text{ cm/s}$.

Differentiation