Course home

11.1 Integrating Standard Functions

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 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67

Question 35

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

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.

11.1 Integrating Standard Functions

Question bank

11.1 Integrating Standard Functions

Easy Medium

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 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67

Question 35

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

11.1 Integrating Standard Functions Questions

A Level
Maths
11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.