# Find dy/dx 6x+7iy=18-21i

Differentiate both sides of the equation.
Differentiate the left side of the equation.
By the Sum Rule, the derivative of with respect to is .
Evaluate .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Evaluate .
Since is constant with respect to , the derivative of with respect to is .
Rewrite as .
Reorder terms.
Differentiate the right side of the equation.
By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
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 .
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
Combine.
Simplify the denominator.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.