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Calculate y'

0 votes

xy^4+x^2y=x+3y.

implicit-differntiation

asked Nov 6, 2014 in CALCULUS by anonymous

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1 Answer

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The equation xy⁴ + x² y = x + 3y

Differentiate implicitly.

(4xy³y' + y⁴) + (x²y' + 2yx) = 1 + 3y'

4xy³y' + x²y' - 3y' = 1 - 2xy - y⁴

y'(4xy³+ x² - 3) = 1 - 2xy - y⁴

y' = (1 - 2xy - y⁴)/(4xy³+ x² - 3).

answered Nov 6, 2014 by david Expert

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