Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve satisfies $\frac{dy}{dx} = 4x - 3\sqrt{x} + 1$.
(a)[3]

Find the $x$-coordinate of the point on the curve where the gradient is $\frac{11}{2}$.

(b)[4]

Given that the curve goes through the point $(4, 11)$, find the equation of the curve.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out a correct method for solving a 3-term quadratic equation in $\sqrt{x}$

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