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Differentiate w.r.t. b
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\frac{4b}{12a}-\frac{3b}{12a}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3a and 4a is 12a. Multiply \frac{b}{3a} times \frac{4}{4}. Multiply \frac{b}{4a} times \frac{3}{3}.
\frac{4b-3b}{12a}
Since \frac{4b}{12a} and \frac{3b}{12a} have the same denominator, subtract them by subtracting their numerators.
\frac{b}{12a}
Combine like terms in 4b-3b.