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Differentiation

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Question 6

The temperature, K∘CK^\circ\text{C}K∘C, of water in a kettle is modelled by the formula K=20+80e−0.2tK = 20 + 80e^{-0.2t}K=20+80e−0.2t where t t\,t is the time in minutes since measurement began.

a.

State the starting temperature of the kettle.

[1]
b.

Find dKdt\displaystyle \frac{dK}{dt}dtdK​

[3]
Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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