It is given that f(x)=3x32+3x2−6x\displaystyle f(x) = 3x^{\frac{3}{2}} + \dfrac{3}{x^2} - 6xf(x)=3x23+x23−6x
Find f′(x)f'(x)f′(x).
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.