Mathematics 9709/31 — October/November 2013

Cambridge A-Level · Pure Mathematics 3 · worked solutions for every part, with the mark scheme

questions

marks

105

minutes

Topics Trigonometry · Differentiation · Algebra · Integration · Logarithmic and Exponential Functions · Numerical Solution of Equations · +3 more

Q13MDifferentiationFree sample

The equation of a curve is $y = \frac{1 + x}{1 + 2x}$ for $x > -\frac{1}{2}$ . Show that the gradient of the curve is always negative.

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