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.
333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.