+0  
 
0
68
1
avatar+61 

Find (dy)/(dx) implicit differentiation if xy + y ^ 3 = 4x - 3 using implicit differentiation.

 Feb 21, 2021
 #1
avatar+112861 
+1

xy + y ^ 3 = 4x - 3

 

\(x\frac{dy}{dx}+1\cdot y+3y^2\frac{dy}{dx}=4\\~\\ (x+3y^2) \frac{dy}{dx}+y=4\\~\\ \frac{dy}{dx}=\frac{4-y} {x+3y^2} \\~\\\)

 

where  \(x\ne -3y^2\)

 Feb 21, 2021

88 Online Users

avatar
avatar
avatar
avatar
avatar
avatar