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Mathematics 12 Online
OpenStudy (anonymous):

Implicit Differentiation of x^2-2xy+y^3=5

jimthompson5910 (jim_thompson5910):

you use the product rule to derive -2xy to get -2y - 2xy'

OpenStudy (anonymous):

2x+2y-2xy'+3y^2y' ?

jimthompson5910 (jim_thompson5910):

so it should be x^2-2xy+y^3=5 2x - 2y - 2xy' + 3y^2*y' = 0 solve for y'

jimthompson5910 (jim_thompson5910):

-2y not +2y

jimthompson5910 (jim_thompson5910):

tell me what you get for y'

OpenStudy (anonymous):

(2x+2y)/(2x+3y^2) ?

jimthompson5910 (jim_thompson5910):

close, but incorrect

OpenStudy (anonymous):

one moment

jimthompson5910 (jim_thompson5910):

ok

OpenStudy (anonymous):

(2(y-x))/(3y^2 -2x)

jimthompson5910 (jim_thompson5910):

that is the correct dy/dx expression

OpenStudy (anonymous):

ah, thank you

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