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Differentiation

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Question 483
i.

Determine ddxln⁡(sec⁡43x)\frac{d}{dx}\ln(\sec^4 3x)dxd​ln(sec43x), giving your answer in its simplest form.

[3]
iia.

Differentiate (3x2−4)3(3x^2 - 4)^3(3x2−4)3 with respect to xxx.

[2]
iib.

Hence show that

∫02x(3x2−4)2 dx=K \int_{0}^{2} x(3x^2 - 4)^2 \, dx = K ∫02​x(3x2−4)2dx=K

where KKK is an integer to be found.

(Solutions relying on calculator technology are not acceptable.)

[4]
Markscheme

Differentiation Questions

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

649 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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