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Differentiation

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Question 521

A biological culture's sensitivity to a stimulant, SSS, is modeled as a function of the concentration ccc (in mmol/L) by the formula:

S=(12c4−8c)9 S = \left( \frac{1}{2}c^4 - \frac{8}{c} \right)^9 S=(21​c4−c8​)9

Use the chain rule to find an expression for the rate of change of sensitivity with respect to concentration, dSdc\frac{dS}{dc}dcdS​.

[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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