IMPLICIT DIFFERENTIATION

[Ryan Rigdon]

how does my work look for this problem

Find DxY. e^(3xy) + 3xy = 5


MY WORK

Dx(e^(3xy) + 3xy) = Dx(5)

e^(3xy) (3xDxY + 3Y) + (3xDxY + 3Y) = 0

3xe^(3xy)DxY + 3ye^(3xy) + 3xDxY + 3Y = 0

3xe^(3xy) DxY + 3x DxY = -3ye^(3xy) - 3y

DxY = (-3ye^(3xy) - 3y) / (3xe^(3xy) + 3x)

= (-3y(e^(3xy) + 1) / (3x(e^(3xy) + 1)

= - y/x

 

[galactus]

Yep. that's it.Good show

 

[Ryan Rigdon]

thanx galactus