Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by $y = 2x + \frac{12}{x^2}$.
(main)[4]

Determine the equation of the tangent to the curve at the point $(-2, -1)$. Write your answer in the form $y = mx + c$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct differentiation gives $2+12(-2)x^{-3}$ (it may be left unsimplified)

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