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Divide fractions $\frac{\frac{x+2}{x-2}\left(x^2-4\right)}{\frac{x+2}{x}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
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$\frac{d}{dx}\left(\frac{\frac{\left(x+2\right)\left(x^2-4\right)x}{x-2}}{x+2}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of ((x+2)/(x-2)(x^2-4))/((x+2)/x). Divide fractions \frac{\frac{x+2}{x-2}\left(x^2-4\right)}{\frac{x+2}{x}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Divide fractions \frac{\frac{\left(x+2\right)\left(x^2-4\right)x}{x-2}}{x+2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Simplify the fraction . 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}}.