Show that f(x)=2x+3x+2−9+2x2x2+3x−2,x>12\displaystyle f(x) = \frac{2x+3}{x+2} - \frac{9+2x}{2x^2+3x-2}, x > \frac{1}{2}f(x)=x+22x+3−2x2+3x−29+2x,x>21 can be written as f(x)=4x−62x−1\displaystyle f(x) = \frac{4x-6}{2x-1}f(x)=2x−14x−6.
Hence, or otherwise, find f′(x)f'(x)f′(x) in its simplest form.
Practise Edexcel A Level Old Maths Differentiation with exam-style questions for A Level Old Maths. 14 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.