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Differentiation

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Question 228

The point P lies on the curve with equation y=3+ln⁡(5−2x)y = 3 + \ln(5 - 2x)y=3+ln(5−2x) with x x\,x coordinate 2

a.

Find the coordinates of P and the gradient of the curve at P.

[3]
b.

Hence find an equation to the tangent to the curve at the point P.

[2]
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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