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3.5.2 Differentiation (A-level only)

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Question 86

The surface profile of a high-precision optical lens is modeled by the curve $C\,$ with equation

y = (5x - 14)^4

Find $dydx\dfrac{dy}{dx}$ .

[2]

The point $P (3, 1)$ lies on $C$ . Find the equation of the normal to $C\,$ at $P$ . Write your answer in the form $a x + b y + c = 0$ , where $b\,$ and $c\,$ are integers to be found.

[4]

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)

Question bank

3.5.2 Differentiation (A-level only)

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Question 86

The surface profile of a high-precision optical lens is modeled by the curve $C\,$ with equation

y = (5x - 14)^4

Find $dydx\dfrac{dy}{dx}$ .

[2]

The point $P (3, 1)$ lies on $C$ . Find the equation of the normal to $C\,$ at $P$ . Write your answer in the form $a x + b y + c = 0$ , where $b\,$ and $c\,$ are integers to be found.

[4]

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.