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1.11.2 Integrating standard functions

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Question 89

The curve with equation $\mathrm{f}(x), x > 0$ , passes through the point $P (9, - 5)$ .

Given that

\frac{\mathrm{d} y}{\mathrm{d} x} = 2x\sqrt{x} - 12x^{-\frac{1}{2}}

Find the equation of the tangent to the curve at $P$ , writing your answer in the form $y = m x + c$ , where $m$ and $c$ are integers to be found.

[4]

Find $f (x)$ .

[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

Question bank

1.11.2 Integrating standard functions

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Question 89

The curve with equation $\mathrm{f}(x), x > 0$ , passes through the point $P (9, - 5)$ .

Given that

\frac{\mathrm{d} y}{\mathrm{d} x} = 2x\sqrt{x} - 12x^{-\frac{1}{2}}

Find the equation of the tangent to the curve at $P$ , writing your answer in the form $y = m x + c$ , where $m$ and $c$ are integers to be found.

[4]

Find $f (x)$ .

[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.