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1.9.2 Gradient as limit of chord gradient

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1 2 3

Question 2

A curve $C\,$ has equation $y = 3x^2 + 1$

The point $P (3, 28)$ lies on $C$ .

Find the gradient of the tangent to $C\,$ at $P$ .

[2]

The point $Q\,$ with $x$ -coordinate $3 + h$ also lies on $C$ . Find the gradient of the chord $P Q$ , giving your answer in terms of $h\,$ in its simplest form.

[3]

Explain briefly the relationship between your answers to parts (b) and (a).

[1]

Markscheme

1.9.2 Gradient as limit of chord gradient Questions

A Level
Maths
1.9.2 Gradient as limit of chord gradient

8 exam-style questions on OCR (MEI) A Level Maths 1.9.2 Gradient as limit of chord gradient. Each one has a worked solution and a mark scheme showing where the marks go.

1.9.2 Gradient as limit of chord gradient

Question bank

1.9.2 Gradient as limit of chord gradient

Easy Medium Hard

1 2 3

Question 2

A curve $C\,$ has equation $y = 3x^2 + 1$

The point $P (3, 28)$ lies on $C$ .

Find the gradient of the tangent to $C\,$ at $P$ .

[2]

The point $Q\,$ with $x$ -coordinate $3 + h$ also lies on $C$ . Find the gradient of the chord $P Q$ , giving your answer in terms of $h\,$ in its simplest form.

[3]

Explain briefly the relationship between your answers to parts (b) and (a).

[1]

Markscheme

1.9.2 Gradient as limit of chord gradient Questions

A Level
Maths
1.9.2 Gradient as limit of chord gradient

8 exam-style questions on OCR (MEI) A Level Maths 1.9.2 Gradient as limit of chord gradient. Each one has a worked solution and a mark scheme showing where the marks go.