Exercise
$\frac{d}{dx}\left(\frac{-2x+y}{-x+y}\right)$
Step-by-step Solution
Learn how to solve integrals of rational functions problems step by step online. Find the derivative d/dx((-2x+y)/(-x+y)). Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Simplify the product -(-2x+y). The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Find the derivative d/dx((-2x+y)/(-x+y))
Final answer to the exercise
$\frac{-2\left(-x+y\right)-2x+y}{\left(-x+y\right)^2}$