Find the derivative of $\frac{x^4-4x^3-4x^2}{-x+\frac{-x^2}{2}+\frac{-x^3}{3}+\frac{-x^4}{4}+\frac{-x^5}{5}}$

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$\frac{d}{dx}\left(\frac{x^4-4x^3-4x^2}{\frac{-3x^2-2x^3}{6}-x+\frac{-x^4}{4}+\frac{-x^5}{5}}\right)$

Learn how to solve problems step by step online. Find the derivative of (x^4-4x^3-4x^2)/(-x+(-x^2)/2(-x^3)/3(-x^4)/4(-x^5)/5). Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Combine fractions with different denominator using the formula: \displaystyle\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d + b\cdot c}{b\cdot d}. Combine \frac{5\left(4\left(-3x^2-2x^3\right)-6x^4\right)-24x^5}{120}-x in a single fraction.