a. If (1 + x)(2 + y) = x 2 + y 2 , find dy/dx in

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a. If (1 + x)(2 + y) = x² + y², find dy/dx in terms of x and y.

b. Find the gradient of the curve (1 + x)(2 + y) = x² + y² at each of the two points where the curve meets the y-axis.

c. Show also that there are two points at which the tangents to this curve are parallel to the y-axis.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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Question Posted: Aug 16, 2023 09:50 AM

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a. If (1 + x)(2 + y) = x 2 + y 2 , find dy/dx in

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a To find dydx in terms of x and y from the equation 1 x2 y x2 y2 well differentiate both sides of t...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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