The yield, YYY, of a certain chemical reaction is related to the operating temperature, xxx, by the equation
Y=5x+15(2x−8)2,x∈R,x≠4Y = \frac{5x + 15}{(2x - 8)^2}, \quad x \in \mathbb{R}, \quad x \neq 4Y=(2x−8)25x+15,x∈R,x=4
where x x\,x is measured in degrees Celsius.
Use calculus to find the set of values of x x\,x for which the yield Y Y\,Y is increasing.
Practise Edexcel A Level Maths 9.5 The Quotient Rule with exam-style questions for A Level Maths. 29 questions, matched to the Edexcel A Level Maths (9MA0) 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.