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Differentiate w.r.t. z
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\frac{4\times 2}{42z}-\frac{3\times 3}{42z}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 21z and 14z is 42z. Multiply \frac{4}{21z} times \frac{2}{2}. Multiply \frac{3}{14z} times \frac{3}{3}.
\frac{4\times 2-3\times 3}{42z}
Since \frac{4\times 2}{42z} and \frac{3\times 3}{42z} have the same denominator, subtract them by subtracting their numerators.
\frac{8-9}{42z}
Do the multiplications in 4\times 2-3\times 3.
\frac{-1}{42z}
Do the calculations in 8-9.