Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The equation of a curve is $y = \frac{3}{2x^2 - 5}$.
(main)[6]

Find the equation of the normal to the curve at the point $(2, 1)$, and give your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate so that the result is in the form $k x(2x^2-5)^{-2}$

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