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Differentiate w.r.t. x
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\frac{5x}{\left(x^{2}-25\right)\left(11x-50\right)}
Multiply \frac{5x}{x^{2}-25} times \frac{1}{11x-50} by multiplying numerator times numerator and denominator times denominator.
\frac{5x}{11x^{3}-50x^{2}-275x+1250}
Use the distributive property to multiply x^{2}-25 by 11x-50.