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Evaluate
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Differentiate w.r.t. m
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\frac{2}{3m}-\frac{1}{6m}
Express 1\times \frac{2}{3m} as a single fraction.
\frac{2\times 2}{6m}-\frac{1}{6m}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3m and 6m is 6m. Multiply \frac{2}{3m} times \frac{2}{2}.
\frac{2\times 2-1}{6m}
Since \frac{2\times 2}{6m} and \frac{1}{6m} have the same denominator, subtract them by subtracting their numerators.
\frac{4-1}{6m}
Do the multiplications in 2\times 2-1.
\frac{3}{6m}
Do the calculations in 4-1.