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1.7 Integration

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Question 64

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

1.7 Integration Questions

A Level
Maths
1.7 Integration

133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.

1.7 Integration

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1.7 Integration

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Question 64

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

1.7 Integration Questions

A Level
Maths
1.7 Integration