Differentiate w.r.t. S
-\frac{1}{2} = -0.5
Evaluate
-\frac{S}{2}
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-\frac{1}{2}S^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{1}{2}S^{0}
Subtract 1 from 1.
-\frac{1}{2}
For any term t except 0, t^{0}=1.
S\left(-\frac{1}{2}\right)
Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
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