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Evaluate
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Differentiate w.r.t. x
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\frac{1}{x}+\frac{3}{x}
Express 1\times \frac{1}{x} as a single fraction.
\frac{4}{x}
Since \frac{1}{x} and \frac{3}{x} have the same denominator, add them by adding their numerators. Add 1 and 3 to get 4.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x}+\frac{3}{x})
Express 1\times \frac{1}{x} as a single fraction.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{x})
Since \frac{1}{x} and \frac{3}{x} have the same denominator, add them by adding their numerators. Add 1 and 3 to get 4.
-4x^{-1-1}
The derivative of ax^{n} is nax^{n-1}.
-4x^{-2}
Subtract 1 from -1.