(a)[2]
Find the value for $k$.
(b)[4]
Find the curve's equation.
(c)[2]
Find the expression for $\frac{d^2y}{dx^2}$.
(d)[2]
Determine the type of stationary point at $(2, -3.5)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The gradient of a curve is given by $\frac{dy}{dx} = 6(3x - 5)^3 - kx^2$, where $k$ is a constant. The curve passes through a stationary point at $(2, -3.5)$.