(a)[1]
Show that $k = -2$.
(b)[4]
Find the equation of the curve.
(c)[3]
Find the coordinates of the stationary point.
(d)[2]
Determine the nature of the stationary point.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
At the point $(4, -1)$ on the curve, the gradient is $-\frac{3}{2}$. It is also given that $\frac{dy}{dx} = x^{-\frac{1}{2}} + k$, where $k$ is constant.