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9.8 Implicit Differentiation

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Question 4

The point $P\,$ lies on the curve with equation $y=83x+1\displaystyle y = \frac{8}{3x + 1}$ 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

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 4

The point $P\,$ lies on the curve with equation $y=83x+1\displaystyle y = \frac{8}{3x + 1}$ 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

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.