SOLUTION: Please find dy/dx using implicit differentiation: y^2+e^y=ln x^2+4 Thanks!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please find dy/dx using implicit differentiation: y^2+e^y=ln x^2+4 Thanks!      Log On


   

Question 61856: Please find dy/dx using implicit differentiation:
y^2+e^y=ln x^2+4
Thanks!
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
y^2+e^y=ln x^2+4
2yy'+e^yy'=2/x+0
y'(2y+e^y)=2/x
y'%282y%2Be%5Ey%29%2F%282y%2Be%5Ey%29=2%2Fx%2F%282y%2Be%5Ey%29
y'=2%2F%28x%282y%2Be%5Ey%29%29
Happy Calculating!!!