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find dy/dx for e^2x= sin(x+3y) ? 

 Apr 30, 2020
 #1
avatar+924 
+1

See if this helps.

 

*I don't really know how to solve these problems myself... 

 Apr 30, 2020
 #2
avatar+111456 
+2

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

 

 

cool cool cool

 Apr 30, 2020

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