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1.10.5 Implicit and parametric differentiation (A-level only)

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Question 75

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

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.10.5 Implicit and parametric differentiation (A-level only)

Question bank

1.10.5 Implicit and parametric differentiation (A-level only)

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Question 75

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

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.