(a)[4]
Given that $f(1) = -\frac{1}{3}$, determine $f(x)$.
(b)[5]
Determine the coordinates of the stationary points on the curve.
(c)[1]
Find $f''(x)$.
(d)[2]
Hence, or otherwise, determine the nature of each stationary point.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is defined by the equation $y = f(x)$, and it is given that $f'(x) = 2x^2 - 7 - \frac{4}{x^2}$.