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1.11.2 Integrating standard functions

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Question 82

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

Given that

$C\,$ passes through the point $P (4, 5)$
$f′(x)=12x2+x−3\displaystyle f'(x) = \frac{12}{x^2} + \sqrt{x} - 3$

Find the equation of the tangent to $C\,$ at $P$ . Write your answer in the form $y = m x + c$ , where $m\,$ and $c\,$ are constants to be found.

[4]

Find, in simplest form, $f (x)$ .

[5]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.11.2 Integrating standard functions

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1.11.2 Integrating standard functions

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Question 82

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

Given that

$C\,$ passes through the point $P (4, 5)$
$f′(x)=12x2+x−3\displaystyle f'(x) = \frac{12}{x^2} + \sqrt{x} - 3$

Find the equation of the tangent to $C\,$ at $P$ . Write your answer in the form $y = m x + c$ , where $m\,$ and $c\,$ are constants to be found.

[4]

Find, in simplest form, $f (x)$ .

[5]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.