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9.8 Implicit Differentiation

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Question 42

A particle moves in a 2D plane such that its position is constrained by the curve with equation

2(x - 2y)^2 = 5x + 3y + 12

The curve intersects the positive $x$ -axis at the point $P$ .

Show that the gradient of the curve at $P$ is $1135\frac{11}{35}$ .

[4]

Find an equation for the normal to the curve at $P$ , giving your answer in the form $a x + b y = c$ , where $a$ , $b$ and $c$ are integers.

[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

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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 42

A particle moves in a 2D plane such that its position is constrained by the curve with equation

2(x - 2y)^2 = 5x + 3y + 12

The curve intersects the positive $x$ -axis at the point $P$ .

Show that the gradient of the curve at $P$ is $1135\frac{11}{35}$ .

[4]

Find an equation for the normal to the curve at $P$ , giving your answer in the form $a x + b y = c$ , where $a$ , $b$ and $c$ are integers.

[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.