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3.5.4 Differentiation (A-level only)

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Question 14

The flight path of a search-and-rescue drone following a specific signal intensity contour is modeled by the equation

x2+2y3−12xy=0 x^2 + 2y^3 - 12xy = 0 x2+2y3−12xy=0

for x,y≥0x, y \ge 0x,y≥0. The path has a stationary point at PPP in the first quadrant where the tangent to the path is horizontal.

a.

Show that the yyy-coordinate of PPP satisfies the equation

y2(y−18)=0 y^2(y - 18) = 0 y2(y−18)=0
[6]
b.

Hence, determine the coordinates of PPP.

[3]
Markscheme

3.5.4 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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