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Differentiate w.r.t. c
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\frac{4\times 3}{3c}+\frac{2}{3c}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of c and 3c is 3c. Multiply \frac{4}{c} times \frac{3}{3}.
\frac{4\times 3+2}{3c}
Since \frac{4\times 3}{3c} and \frac{2}{3c} have the same denominator, add them by adding their numerators.
\frac{12+2}{3c}
Do the multiplications in 4\times 3+2.
\frac{14}{3c}
Do the calculations in 12+2.