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$\frac{d}{dx}\left(\frac{\left(x+2\right)\left(x-1\right)}{x^2-4}\right)$
Learn how to solve problems step by step online. Find the derivative of (x+2)/(x^2-4)(x-1). Simplifying. Simplify \frac{\left(x+2\right)\left(x-1\right)}{x^2-4}. Multiply -1 times 2. 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}}.