(a)[2]
Determine the gradient of the normal to the curve at the point $A$.
(b)[4]
Find the equation for the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is defined by the equation $\frac{dy}{dx} = 4(2x - 5)^3 - 9x^{\frac{1}{2}}$, and it passes through the point $A\left(4, -\frac{11}{2}\right)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $x=4$ into $\frac{dy}{dx}$ in order to find the gradient of the tangent.” …
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