| Exam Board | AQA |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2008 |
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| Session | June |
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| Topic | Indices and Surds |
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1
- Write \(\sqrt { x ^ { 3 } }\) in the form \(x ^ { k }\), where \(k\) is a fraction.
(1 mark) - A curve, defined for \(x \geqslant 0\), has equation
$$y = x ^ { 2 } - \sqrt { x ^ { 3 } }$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Find the equation of the tangent to the curve at the point where \(x = 4\), giving your answer in the form \(y = m x + c\).