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9.8 Implicit Differentiation

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Question 31

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

x^2 + 2y^3 - 12xy = 0

for $\ge 0$ . The path has a stationary point at $P$ in the first quadrant where the tangent to the path is horizontal.

Show that the $y$ -coordinate of $P$ satisfies the equation

y^2(y - 18) = 0

[6]

Hence, determine the coordinates of $P$ .

[3]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

9.8 Implicit Differentiation

Question bank

9.8 Implicit Differentiation

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 31

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

x^2 + 2y^3 - 12xy = 0

for $\ge 0$ . The path has a stationary point at $P$ in the first quadrant where the tangent to the path is horizontal.

Show that the $y$ -coordinate of $P$ satisfies the equation

y^2(y - 18) = 0

[6]

Hence, determine the coordinates of $P$ .

[3]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.