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Differentiate w.r.t. c
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\frac{1}{3c}+\frac{5\times 3}{3c}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3c and c is 3c. Multiply \frac{5}{c} times \frac{3}{3}.
\frac{1+5\times 3}{3c}
Since \frac{1}{3c} and \frac{5\times 3}{3c} have the same denominator, add them by adding their numerators.
\frac{1+15}{3c}
Do the multiplications in 1+5\times 3.
\frac{16}{3c}
Do the calculations in 1+15.