A curve has equation
y=2x+15(3x−6)2,x∈R,x≠2 y = \frac{2x + 15}{(3x - 6)^2}, \quad x \in \mathbb{R}, \quad x \neq 2 y=(3x−6)22x+15,x∈R,x=2Use calculus to determine the set of values of x x\,x for which y y\,y is increasing.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 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.
