stzayas14 stzayas14
  • 21-01-2018
  • Mathematics
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Calculate dy/dx when xy^3 + y =3x

Calculate dydx when xy3 y 3x class=

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Edufirst
Edufirst Edufirst
  • 21-01-2018
The answer is the option D.

You have to use implicit derivative

1) dy / dx = y'

2)

[tex]xy^3+y=3x y^3+3xy^2y'+y'=3 (3xy^2+1)y'=3-y^3 y'= (3-y^3)/(3xy^2+1) y'=(3-y^3)/(1+3xy^2) [/tex]
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