(a)[2]
Find the equation of the tangent at $P$ to the curve.
(b)[4]
Find the equation of the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve has derivative $\frac{dy}{dx} = 12\left(\frac{1}{2}x - 1\right)^{-4}$. The curve is known to pass through $P(6, 4)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $x=6$ into $\frac{dy}{dx}$ and take the gradient to be $\frac{3}{4}$.” …
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