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$\frac{d}{dx}\left(\frac{-1}{\left(x^3+2x^2+x\right)\left(x^3+x^2-x-1\right)}\right)$
Learn how to solve problems step by step online. Find the derivative of (-1/(x^3+2x^2x))/(x^3+x^2-x+-1). 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}}. Multiply -1 times -1. The power of a product is equal to the product of it's factors raised to the same power.