The equation of a curve is x 3 3x 2 y y 3 3 i Show that dy dx x 2 2xy x 2 y 2 ' ii Find the coordinates of the points on the curve where the tangent is parallel to the x axis ...

i To find dydx we can use implicit differentiation We have x3 3x2y y3 3 Differentiating both sides w ...

The equation of a curve is x 3 3x 2 y + y 3 = 3.

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The equation of a curve is x³ − 3x²y + y³ = 3.

i. Show that dy/dx = x²- 2xy/ x²- y².'

ii. Find the coordinates of the points on the curve where the tangent is parallel to the x-axis.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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The equation of a curve is x 3 3x 2 y + y 3 = 3.

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i To find dydx we can use implicit differentiation We have x3 3x2y y3 3 Differentiating both sides w...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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