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Evaluate
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Differentiate w.r.t. x
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\frac{2\times 5}{15x}+\frac{2\times 3}{15x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3x and 5x is 15x. Multiply \frac{2}{3x} times \frac{5}{5}. Multiply \frac{2}{5x} times \frac{3}{3}.
\frac{2\times 5+2\times 3}{15x}
Since \frac{2\times 5}{15x} and \frac{2\times 3}{15x} have the same denominator, add them by adding their numerators.
\frac{10+6}{15x}
Do the multiplications in 2\times 5+2\times 3.
\frac{16}{15x}
Do the calculations in 10+6.