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9.8 Implicit Differentiation

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Question 24

A magnetic flux contour line CCC within a specialized superconducting alloy is modeled by the equation

y2+60x−x2y=k,y>0 y^2 + 60x - x^2 y = k, \quad y > 0 y2+60x−x2y=k,y>0

where kkk is a constant and xxx and yyy represent spatial coordinates measured in micrometers.

a.

Find dydx\dfrac{dy}{dx}dxdy​ in terms of xxx and yyy.

[4]
b.

The point P(p,10)P(p, 10)P(p,10), where ppp is a constant, lies on CCC. Given that PPP is the minimum turning point on CCC,

find

(i) the value of ppp

(ii) the value of kkk

[5]

9.8 Implicit Differentiation Questions

  1. A Level
  2. /Maths
  3. /9.8 Implicit Differentiation

Practise Edexcel A Level Maths 9.8 Implicit Differentiation with exam-style questions for A Level Maths. 48 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank