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