11.1 Integrating Standard Functions
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The curve with equation y=f(x),x>0y = \mathrm{f}(x), x > 0y=f(x),x>0, passes through the point P(9,−5)P(9, -5)P(9,−5).

Given that

dydx=2xx−12x−12\frac{\mathrm{d} y}{\mathrm{d} x} = 2x\sqrt{x} - 12x^{-\frac{1}{2}}dxdy​=2xx​−12x−21​

a.

Find the equation of the tangent to the curve at PPP, writing your answer in the form y=mx+cy = mx + cy=mx+c, where mmm and ccc are integers to be found.

[4]
b.

Find f(x)f(x)f(x).

[5]

11.1 Integrating Standard Functions Questions

Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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11.1 Integrating Standard Functions Questions

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