| Exam Board | CAIE |
|---|
| Module | P3 (Pure Mathematics 3) |
|---|
| Year | 2019 |
|---|
| Session | November |
|---|
| Topic | Product & Quotient Rules |
|---|
2 The curve with equation \(y = \frac { \mathrm { e } ^ { - 2 x } } { 1 - x ^ { 2 } }\) has a stationary point in the interval \(- 1 < x < 1\). Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) and hence find the \(x\)-coordinate of this stationary point, giving the answer correct to 3 decimal places.