9709 P11 - Nov 2019 - Q9
1408
A curve for which \(\frac{dy}{dx} = (5x - 1)^{\frac{1}{2}} - 2\) passes through the point (2, 3).
(i) Find the equation of the curve. [4]
(ii) Find \(\frac{d^2y}{dx^2}\). [2]
(iii) Find the coordinates of the stationary point on the curve and, showing all necessary working, determine the nature of this stationary point. [4]
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