(i)[2]
A point travels on the curve so that the $x$-coordinate is falling at a constant rate of $0.05$ units per second. Find the rate of change of the $y$-coordinate when the point is at $P$.
(ii)[3]
Find the equation that represents the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by $\frac{dy}{dx} = x^3 - \frac{4}{x^2}$. The point $P(2, 9)$ is on the curve.