Question 12
The equation of a curve is $y = 4x^2 + \dfrac{9}{x^2} - 8$.
**(a)** A point $P$ is moving along the curve in such a way that its $y$-coordinate is decreasing at 5 units per second.
Find the rate at which the $x$-coordinate of point $P$ is changing when $x = 2$.
**(a)** A point $P$ is moving along the curve in such a way that its $y$-coordinate is decreasing at 5 units per second.
Find the rate at which the $x$-coordinate of point $P$ is changing when $x = 2$.
