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Evaluate
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Differentiate w.r.t. x
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\frac{3x}{2x^{2}+3x}
Combine x^{2} and x^{2} to get 2x^{2}.
\frac{3x}{x\left(2x+3\right)}
Factor the expressions that are not already factored.
\frac{3}{2x+3}
Cancel out x in both numerator and denominator.