| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2017 |
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| Session | March |
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| Topic | Differentiating Transcendental Functions |
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5 The curve with equation \(y = \mathrm { e } ^ { - a x } \tan x\), where \(a\) is a positive constant, has only one point in the interval \(0 < x < \frac { 1 } { 2 } \pi\) at which the tangent is parallel to the \(x\)-axis. Find the value of \(a\) and state the exact value of the \(x\)-coordinate of this point.