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Differentiate w.r.t. x
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\frac{5}{35x}+\frac{3\times 7}{35x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 7x and 5x is 35x. Multiply \frac{1}{7x} times \frac{5}{5}. Multiply \frac{3}{5x} times \frac{7}{7}.
\frac{5+3\times 7}{35x}
Since \frac{5}{35x} and \frac{3\times 7}{35x} have the same denominator, add them by adding their numerators.
\frac{5+21}{35x}
Do the multiplications in 5+3\times 7.
\frac{26}{35x}
Do the calculations in 5+21.