(a)[4]
Show that any stationary point on the curve has an $x$-coordinate that satisfies the equation $e^x(3e^x - 8)(3e^x + 2) = 0$.
(b)[4]
Hence show that the curve has just one stationary point and determine its exact coordinates.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by $y = \frac{9e^{2x} + 16}{e^x - 1}$.
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