Final Answer
$\frac{y^{\prime}}{y}=\frac{1}{1-2x+2y}\left(-2+2y^{\prime}\right)+\frac{-1}{3x-y-9}\left(3-y^{\prime}\right)$
Got another answer? Verify it here!
Step-by-step Solution
Specify the solving method
1
Simplifying
$\frac{d}{dx}\left(\frac{1-2x+2y}{3x-y-9}\right)$
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(\frac{1-2x+2y}{3x-y-9}\right)$
Learn how to solve problems step by step online. Find the derivative d/dx((1+1*-2x2y)/(3x-y+-9)). Simplifying. To derive the function \frac{1-2x+2y}{3x-y-9}, use the method of logarithmic differentiation. First, assign the function to y, then take the natural logarithm of both sides of the equation. Apply natural logarithm to both sides of the equality. Apply logarithm properties to both sides of the equality.
Final Answer
$\frac{y^{\prime}}{y}=\frac{1}{1-2x+2y}\left(-2+2y^{\prime}\right)+\frac{-1}{3x-y-9}\left(3-y^{\prime}\right)$