Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve whose gradient is $\frac{dy}{dx} = \sqrt{5x - 1} - 2$ goes through the point $(2, 3)$.
(i)[4]

Find the equation describing the curve.

(ii)[2]

Find the value of $\frac{d^2y}{dx^2}$.

(iii)[4]

Find the coordinates of the stationary point on the curve and, with full working, identify the nature of this stationary point.

Worked solution & mark scheme

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