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9.8 Implicit Differentiation

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Question 20

A magnetic field is modeled such that a specific field line $C$ follows the equation

5y^{2} + 2xy^{2} = 10(5^{x}) + 10, \quad y > 0

where $x$ and $y$ are distances in centimeters.

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

[6]

The field line $C$ crosses the $y$ -axis at the point $P$ .

Find the exact value of the gradient of the field line at $P$ .

[4]

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 20

A magnetic field is modeled such that a specific field line $C$ follows the equation

5y^{2} + 2xy^{2} = 10(5^{x}) + 10, \quad y > 0

where $x$ and $y$ are distances in centimeters.

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

[6]

The field line $C$ crosses the $y$ -axis at the point $P$ .

Find the exact value of the gradient of the field line at $P$ .

[4]

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.