.

[math] xe^y - 6y = 2x - 10 - e^2 [/tex]

Isolate constant terms:

Differentiate both sides:

y' =

You made a differentiation error on the 6y term. If f(y) = 6y,

then f'(y) = 6*(y'). If this were not implicit differentiation: if f(y)=6y,

f'(y) =6.