2020 HCI Promo Q1

2020 HCI Promo Q1

4 marks
Promo

Given that the equation of a curve is \({{y}^{2}}+2xy+{{x}^{2}}-2{{\mathrm{e}}^{x}}=7\), find the gradients of the tangents to the curve at the points \(A\) and \(B\) where \(x=0\).[4]

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Answer:\(Gradients: \(-\frac{4}{3}\) or \(-\frac{2}{3}\)

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