(i)[1]
State, with justification, the nature of this stationary point.
(ii)[4]
Find a formula for $\frac{dy}{dx}$.
(iii)[4]
Given that the curve passes through the point $(1,13)$, determine the coordinates of the stationary point $P$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve obeys $\frac{d^2y}{dx^2} = \frac{24}{x^3} - 4$. It has a stationary point at $P$ for which $x = 2$.
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