# Find dx/dy sin(y)+3x=y^2

Differentiate both sides of the equation.
Differentiate the left side of the equation.
By the Sum Rule, the derivative of with respect to is .
The derivative of with respect to is .
Evaluate .
Since is constant with respect to , the derivative of with respect to is .
Rewrite as .
Reorder terms.
Differentiate using the Power Rule which states that is where .
Reform the equation by setting the left side equal to the right side.
Solve for .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Replace with .
Find dx/dy sin(y)+3x=y^2