(a)[2]
Use the expression for $\frac{d^2 y}{dx^2}$ to decide whether the stationary point is a maximum or a minimum.
(b)[7]
Find the equation satisfied by the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is defined by $\frac{d^2 y}{dx^2} = \frac{6}{x^4} - \frac{5}{x^3}$. It is stated that this curve has a stationary point at $\left(\frac{1}{2}, 9\right)$.