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Find dy/dx by implicit differentiation.x^6(x + y) = y^2(4x − y)

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sllysmith | Student, Undergraduate | (Level 2) eNoter

Posted March 19, 2012 at 1:44 AM via web

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Find dy/dx by implicit differentiation.

x^6(x + y) = y^2(4x − y)

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cosinusix | College Teacher | (Level 3) Assistant Educator

Posted March 19, 2012 at 2:00 AM (Answer #1)

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Think that y is a function of x and differentiate with respect to the variable x using usual differentiation rules.






Solve for y':



Solution `y'=(dy)/(dx)=(4y^2-7x^6-6x^5y)/(x^6-8yx+3y^2)`

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