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1.10 G: Differentiation

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Question 32

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

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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