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Differentiate w.r.t. B
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B-\frac{\sqrt{2}}{2}
Get the value of \sin(\frac{\pi }{4}) from trigonometric values table.
\frac{2B}{2}-\frac{\sqrt{2}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply B times \frac{2}{2}.
\frac{2B-\sqrt{2}}{2}
Since \frac{2B}{2} and \frac{\sqrt{2}}{2} have the same denominator, subtract them by subtracting their numerators.