Loading [MathJax]/jax/output/SVG/jax.js
 
+0  
 
0
1
2910
2
avatar

what is dydx when e(x×y)=x+y?

 Mar 19, 2015

Best Answer 

 #1
avatar+130477 
+10

exy  = x + y    

Using implicit differentiation, we have

yexy + xy'exy  = 1 + y'

y' ( xexy - 1) = 1 - yexy

y' = [ 1 - yexy  ] / [ xexy - 1]  

 

  

 Mar 19, 2015
 #1
avatar+130477 
+10
Best Answer

exy  = x + y    

Using implicit differentiation, we have

yexy + xy'exy  = 1 + y'

y' ( xexy - 1) = 1 - yexy

y' = [ 1 - yexy  ] / [ xexy - 1]  

 

  

CPhill Mar 19, 2015
 #2
avatar+118703 
+5

Thanks Chris,

I really need practice at these so it is great when they come onto the forum.

I even got the same answer as you - isn't that great :)

 

Thanks anon for giving us this question :)

 Mar 19, 2015

3 Online Users