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Differentiate w.r.t. x
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\frac{9\times 7}{28x}+\frac{5\times 4}{28x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4x and 7x is 28x. Multiply \frac{9}{4x} times \frac{7}{7}. Multiply \frac{5}{7x} times \frac{4}{4}.
\frac{9\times 7+5\times 4}{28x}
Since \frac{9\times 7}{28x} and \frac{5\times 4}{28x} have the same denominator, add them by adding their numerators.
\frac{63+20}{28x}
Do the multiplications in 9\times 7+5\times 4.
\frac{83}{28x}
Do the calculations in 63+20.