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OpenStudy (anonymous):

Find the equation of the tangent line to y^3+xy=-2x^2-x+1 going through (-1,1) Find the equation of the tangent line to y^3+xy=-2x^2-x+1 going through (-1,1) @Mathematics

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OpenStudy (anonymous):

so take the derivative using implicit differentiation and get \[3y^2y'+xy'+y=-4x^2-1\] now you can solve for y' using algebra, or you can just plug in the numbers x = -1 and y = 1 and solve for y' then

OpenStudy (anonymous):

typo there it should be \[3y^2y'+xy'+y=-4x-1\]

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