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2011 MJC P2 Q4 (a)

2011 MJC P2 Q4 (a)

5 marks
Prelims
  1. The equation of a curve is given by \({{e}^{x+y}}+e={{\left( 2y-1 \right)}^{2}}\). Find \(\frac{\mathrm{d}y}{\mathrm{d}x}\).[4]
  2. Write down an equation relating \(x\) and \(y\) at which the tangent is parallel to the \(y\)-axis.[1]

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Answer:\(\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{e^{x+y}}{8y - 4 - e^{x+y}}\); \(8y - 4 - e^{x+y} = 0\)

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