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