SOLUTION: use implicit differentiation to find dy/dx y^2-ye^x=12 I keep getting this wrong, the answer in the back of my book and what I get are off. Please help.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: use implicit differentiation to find dy/dx y^2-ye^x=12 I keep getting this wrong, the answer in the back of my book and what I get are off. Please help.      Log On


   

Question 899908: use implicit differentiation to find dy/dx
y^2-ye^x=12
I keep getting this wrong, the answer in the back of my book and what I get are off. Please help.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

ye^x  Use Chain Rule for this term

2yy' -(1y'e^x + ye^x) = 0

 2yy' - y'e^x - ye^x = 0

 2yy' - y'e^x = ye^x 

 y'(2y-e^x) = ye^x

  y' = ye^x/(2y-e^x)