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9.8 Implicit Differentiation

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Question 40

A robotic welding tool follows a path in the $x y$ -plane described by the implicit equation

3y^2 - 12y = 4x^2 + 16x - 16

Determine an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[3]

The path of the tool is discontinuous, and it cannot operate within an exclusion zone defined by the $x$ -interval $(p, q)$ .

By considering the points on the curve where the tangent is vertical, find the exact values of $p$ and $q$ .

[5]

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 40

A robotic welding tool follows a path in the $x y$ -plane described by the implicit equation

3y^2 - 12y = 4x^2 + 16x - 16

Determine an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[3]

The path of the tool is discontinuous, and it cannot operate within an exclusion zone defined by the $x$ -interval $(p, q)$ .

By considering the points on the curve where the tangent is vertical, find the exact values of $p$ and $q$ .

[5]

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.