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1.11.2 Integrating standard functions

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Question 110

Find the equation of the tangent to the curve with equation

\frac{1}{6}x^3 - 9x^\frac{1}{2}

at the point $P (9, 94.5)$ .

Give your answer in the form $a x + b y + c = 0$ , where $a$ , $b$ and $c$ are integers.

[5]

The curve with equation $y = f (x)$ also passes through the point $P (9, 94.5)$ . Given that

\frac{1}{6}x^3 - 9x^\frac{1}{2}

find $f (x)$ , giving the coefficients in simplest form.

[4]

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

Question bank

1.11.2 Integrating standard functions

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Question 110

Find the equation of the tangent to the curve with equation

\frac{1}{6}x^3 - 9x^\frac{1}{2}

at the point $P (9, 94.5)$ .

Give your answer in the form $a x + b y + c = 0$ , where $a$ , $b$ and $c$ are integers.

[5]

The curve with equation $y = f (x)$ also passes through the point $P (9, 94.5)$ . Given that

\frac{1}{6}x^3 - 9x^\frac{1}{2}

find $f (x)$ , giving the coefficients in simplest form.

[4]

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.