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Differentiation

Differentiation

Medium
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Question 6
a.

The curve C C\,C has equation x=2sin⁡yx = 2 \sin yx=2siny. Show that the point P(2,π4)\displaystyle P(\sqrt{2}, \frac{\pi}{4})P(2​,4π​) lies on CCC.

[1]
b.

Show that dydx=12\displaystyle \frac{dy}{dx} = \frac{1}{\sqrt{2}}dxdy​=2​1​ at PPP.

[4]
c.

Find an equation of the normal to C C\,C at PPP. Give your answer in the form y=mx+cy = mx + cy=mx+c, where m m\,m and c c\,c are exact constants.

[4]
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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