(a)[3]
Find the rate of increase of the $y$-coordinate when $x = 4$, given that a point moves along the curve with its $x$-coordinate rising at a constant rate of $0.12$ units per second.
(b)[4]
Find the equation for the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The point $(4,7)$ is on the curve $y = f(x)$, and it is known that $f'(x) = 6x^{-\frac{1}{2}} - 4x^{-\frac{3}{2}}$.