(a)[2]
Determine the value of $a$.
(b)[2]
State the nature of this stationary point.
(c)[3]
Find the equation of the curve.
(d)[2]
Determine the coordinates of any remaining stationary points on the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by $\frac{dy}{dx} = 6x^2 - 30x + 6a$, with $a$ being a positive constant. There is a stationary point on the curve at $(a, -15)$.