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.
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.