| Exam Board | AQA |
|---|
| Module | C3 (Core Mathematics 3) |
|---|
| Year | 2007 |
|---|
| Session | June |
|---|
| Topic | Product & Quotient Rules |
|---|
7
- A curve has equation \(y = \left( x ^ { 2 } - 3 \right) \mathrm { e } ^ { x }\).
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
- Find the \(x\)-coordinate of each of the stationary points of the curve.
- Using your answer to part (a)(ii), determine the nature of each of the stationary points.