5 marksDifferentiation I
CAPE Pure Mathematics Unit 1 · May/June 2002 · Paper 2 · Question 5(b)(iv)
The equation of a curve is given by f(x) = x(x + 2)².
Sketch the curve.
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Practise this questionOther parts of this question
- 5(a)By expressing x - 4 as (√x + 2)(√x - 2), find lim (x→4) (√x - 2) / (x - 4). Hence, find lim (x→4) (√x - 2) / (x² - 5x + 4).[5 marks]
- 5(b)(i)Obtain an expression for f'(x).[3 marks]
- 5(b)(ii)Find the stationary point(s) of f.[2 marks]
- 5(b)(iii)Determine the nature of the stationary point(s) of f.[5 marks]
- 5(b)(v)Find the area bounded by the curve and the interval of the x-axis, -2 < x < 0.[5 marks]
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