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Differentiate w.r.t. a
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\frac{ad}{d}+\frac{b}{d}
To add or subtract expressions, expand them to make their denominators the same. Multiply a times \frac{d}{d}.
\frac{ad+b}{d}
Since \frac{ad}{d} and \frac{b}{d} have the same denominator, add them by adding their numerators.