# How do you find #(dy)/(dx)# given #(2y-x)^2+3x=0#?

##### 1 Answer

Jun 10, 2017

Differentiate each term:

The first term requires the use of the chain rule:

Let

Substituting into equation [2]:

Reverse the substitution for g:

Substitute back into equation [1]:

The derivative of the second term is trivial and the derivative of 0 is 0:

Solve for