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3.5.2 Differentiation (A-level only)

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Question 53

The point $P\,$ lies on the curve with equation $y=12x−1\displaystyle y = \frac{1}{2x - 1}$ with $x$ -coordinate 1.

Find an equation for the normal to the curve at the point $P$ .

[5]

The normal intersects the curve again at the point $Q$ . Find the exact coordinates of $Q$ .

[2]

Markscheme

3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.2 Differentiation (A-level only)

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3.5.2 Differentiation (A-level only)

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Question 53

The point $P\,$ lies on the curve with equation $y=12x−1\displaystyle y = \frac{1}{2x - 1}$ with $x$ -coordinate 1.

Find an equation for the normal to the curve at the point $P$ .

[5]

The normal intersects the curve again at the point $Q$ . Find the exact coordinates of $Q$ .

[2]

Markscheme

3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.