(i)[3]
Find an expression for $\frac{dy}{dx}$.
(ii)[2]
A point travels along the curve so that the $x$-coordinate is rising at a constant rate of $0.12$ units per second. Determine the rate of change of the $y$-coordinate when $x = 4$.
Mathematics 9709 · AS & A Level · Differentiation
Find an expression for $\frac{dy}{dx}$.
A point travels along the curve so that the $x$-coordinate is rising at a constant rate of $0.12$ units per second. Determine the rate of change of the $y$-coordinate when $x = 4$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate differentiation of $y = 4\sqrt{x} + \frac{2}{\sqrt{x}}$” …