| Exam Board | CAIE |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2022 |
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| Session | November |
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| Topic | Implicit equations and differentiation |
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5 A curve has equation \(4 \mathrm { e } ^ { 2 x } y + y ^ { 2 } = 21\).
Find the gradient of the curve at the point \(( 0 , - 7 )\).