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3.6 Differentiation (A-level only)

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Question 58

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≠4 Y = \frac{5x + 15}{(2x - 8)^2}, \quad x \in \mathbb{R}, \quad x \neq 4 Y=(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.

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3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

332 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.

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