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Differentiate w.r.t. b
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Evaluate
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\frac{1}{2}\times 25b^{\frac{1}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{25}{2}b^{\frac{1}{2}-1}
Multiply \frac{1}{2} times 25.
\frac{25}{2}b^{-\frac{1}{2}}
Subtract 1 from \frac{1}{2}.