SOLUTION: Hi Can somebody please help me with this problem Confirm that the point P(1,1) lies on the curve with equation x^3-y^2+xy-x^2=0 and find the values of dy/dx and d^2y/dx^2 at that

Question 377490: Hi Can somebody please help me with this problem
Confirm that the point P(1,1) lies on the curve with equation x^3-y^2+xy-x^2=0 and find the values of dy/dx and d^2y/dx^2 at that point.
Please explain steps if anyone is so kind as to help
Thank you
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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True, so ) is on the curve.
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Use implicit differentiation,

When

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For the second derivative, use the quotient rule,

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The value when and is,

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