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$\frac{d}{dx}\left(\frac{3\left(x-3\right)}{x^2-5x+6}\right)$
Learn how to solve problems step by step online. Find the derivative using the quotient rule 3/((x^2-5x+6)/(x-3)). Simplifying. 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}}. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.