Express f(x)=2x+2x2−2x−3−x+1x−3\displaystyle f(x) = \frac{2x+2}{x^2-2x-3} - \frac{x+1}{x-3}f(x)=x2−2x−32x+2−x−3x+1 as a single fraction in its simplest form.
[4]
b.
Hence show that f′(x)=2(x−3)2\displaystyle f'(x) = \frac{2}{(x-3)^2}f′(x)=(x−3)22.
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Markscheme
Differentiation Questions
14 exam-style questions on Edexcel A Level Old Maths Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.