| Exam Board | OCR MEI |
|---|
| Module | C3 (Core Mathematics 3) |
|---|
| Year | 2015 |
|---|
| Session | June |
|---|
| Topic | Implicit equations and differentiation |
|---|
5 A curve has implicit equation \(y ^ { 2 } + 2 x \ln y = x ^ { 2 }\).
Verify that the point \(( 1,1 )\) lies on the curve, and find the gradient of the curve at this point.