It is given that
f(x)=x−52x+3+2x+42x2+7x+6\displaystyle f(x) = \frac{x - 5}{2x + 3} + \frac{2x + 4}{2x^2 + 7x + 6}f(x)=2x+3x−5+2x2+7x+62x+4
Express f(x)f(x)f(x) as a single fraction in its simplest form.
Hence find f′(x)f'(x)f′(x), giving your answer in its simplest form.