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Differentiate w.r.t. x
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\frac{9\times 8}{40x}+\frac{5\times 5}{40x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5x and 8x is 40x. Multiply \frac{9}{5x} times \frac{8}{8}. Multiply \frac{5}{8x} times \frac{5}{5}.
\frac{9\times 8+5\times 5}{40x}
Since \frac{9\times 8}{40x} and \frac{5\times 5}{40x} have the same denominator, add them by adding their numerators.
\frac{72+25}{40x}
Do the multiplications in 9\times 8+5\times 5.
\frac{97}{40x}
Do the calculations in 72+25.