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Differentiation

Differentiation

Medium
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Question 11
a(i).

Differentiate with respect to xxx: 3sin⁡2x+sec⁡2x3 \sin^2 x + \sec 2x3sin2x+sec2x.

[3]
a(ii).

Differentiate with respect to xxx: {x+ln⁡(2x)}3\{x + \ln(2x)\}^3{x+ln(2x)}3.

[3]
b.

Given that y=5x2−10x+9(x−1)2,x≠1\displaystyle y = \frac{5x^2 - 10x + 9}{(x - 1)^2}, x \neq 1y=(x−1)25x2−10x+9​,x=1, show that dydx=−8(x−1)3\displaystyle \frac{dy}{dx} = -\frac{8}{(x - 1)^3}dxdy​=−(x−1)38​.

[6]
Markscheme

Differentiation Questions

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

14 exam-style questions on Edexcel A Level Old Maths Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

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