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Differentiation

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Question 516

A scientist models the activity, AAA MBq, of a radioactive isotope over time, ttt days, using the equation

A=(15t+2)e−0.4t,t≥0 A = (15t + 2)e^{-0.4t}, \quad t \ge 0 A=(15t+2)e−0.4t,t≥0

Find, using calculus, the exact value of ttt for which the activity is stationary.

[4]
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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