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Evaluate
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Differentiate w.r.t. x
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\frac{-x}{\left(1+x\right)x}
Express \frac{\frac{-x}{1+x}}{x} as a single fraction.
\frac{-x}{x+x^{2}}
Use the distributive property to multiply 1+x by x.
\frac{-x}{x\left(x+1\right)}
Factor the expressions that are not already factored.
\frac{-1}{x+1}
Cancel out x in both numerator and denominator.