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Differentiation

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Question 219

A curve has parametric equations x=t+1t\displaystyle x = t + \frac{1}{t}x=t+t1​ and y=t−1t\displaystyle y = t - \frac{1}{t}y=t−t1​ for t≠0t \neq 0t=0

a.

Find dydx\displaystyle \frac{dy}{dx}dxdy​ in terms of ttt, giving your answer in its simplest form.

[4]
b.

Explain why the curve has no stationary points.

[2]
c.

By considering x+yx + yx+y, or otherwise, find a cartesian equation of the curve, giving your answer in a form not involving fractions or brackets.

[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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