SOLUTION: If {{{xy+3x+y^2=21}}} defines a differentiable implicit function y=f(x), find {{{dy/dx}}} in terms of x and y.

Question 995895: If defines a differentiable implicit function y=f(x), find in terms of x and y.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
If defines a differentiable implicit function y=f(x), find in terms of x and y.



Differentiate each term, using differentiation formulas
you have studied:



Simplifying



Isolate terms in  on the left



Factor out  on the left:



Divide both sides by (x+2y)



Edwin

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