CSRoger2 From: US Posts: 27 Votes: 54 |
The curve described by (x2+y2)2=x2 constains exactly 4 points where the tangent line is horizontal. Find them. |

Anonymous From: - Posts: - Votes: - |
X2+y2= ±x taking derivative 2yy'+2x=±1 as y'= (±1-2x)/2y tangent line is horizontal means slope = 0 equating u will get x = 1/2 or -1/2 when x = 1/2 y =±√(1/2-1/4) = ±1/2 when x = -1/2 y = ±√(1/2-1/4) = ±1/2 so 4 points are (1/2 , 1/2),(1/2 , -1/2),(-1/2 , 1/2),(-1/2 , -1/2) |

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