Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $\frac{dy}{dx} = 3x^{\frac{1}{2}} - 3x^{-\frac{1}{2}}$. It passes through the point $(3, 5)$.
(a)[4]

Find the equation that describes the curve.

(b)[2]

Find the value of $x$ at the stationary point.

(c)[1]

State the set of $x$ values for which $y$ increases as $x$ increases.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate integrated form including constant $c$

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