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9.8 Implicit Differentiation

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Question 45

A streamline of fluid flow in a microfluidic device follows a path described by the curve with equation

3y^2 + 8x = 3ye^{-4x}

Find $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

The path crosses the vertical axis at the origin and at a point $P$ .

Find the equation of the normal to the streamline at $P$ , writing your answer in the form $y = m x + c$ where $m$ and $c$ are constants to be determined.

[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

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 45

A streamline of fluid flow in a microfluidic device follows a path described by the curve with equation

3y^2 + 8x = 3ye^{-4x}

Find $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[4]

The path crosses the vertical axis at the origin and at a point $P$ .

Find the equation of the normal to the streamline at $P$ , writing your answer in the form $y = m x + c$ where $m$ and $c$ are constants to be determined.

[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.