find dy/dx for e^2x= sin(x+3y) ?
See if this helps.
*I don't really know how to solve these problems myself...
e^(2x) = sin ( x + 3y)
Using implicit differentiation
2e^(2x) = cos ( x + 3y) ( 1 + 3y')
1 + 3y' = 2e^(2x) / cos ( x + 3y)
3y' = 2e^(2x) / cos ( x + 3y) - 1
y' = (2/3)e^(2x) / cos(x + 3y) - 1/3
