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1.10.3 Applications of differentiation

1.10.3 Applications of differentiation

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Question 45

The curve C has equation $y = f (x), x > 0$ .

Given that

the point $P (1, 12)$ lies on $C$
$6\sqrt{x} + \frac{k}{x^3}$ where $k$ is a constant
$f^{''} (x) = 0$ at $P$

a.

Find the exact value of $k$ .

[4]

b.

Find $f (x)$ , giving your answer in simplest form.

[4]

Markscheme

1.10.3 Applications of differentiation Questions

A Level
Maths
1.10.3 Applications of differentiation

57 exam-style questions on AQA A Level Maths 1.10.3 Applications of differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

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