Differentiate w.r.t. p
-\frac{100}{p^{\frac{3}{2}}}
Evaluate
\frac{200}{\sqrt{p}}
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-\frac{1}{2}\times 200p^{-\frac{1}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
-100p^{-\frac{1}{2}-1}
Multiply -\frac{1}{2} times 200.
-100p^{-\frac{3}{2}}
Subtract 1 from -\frac{1}{2}.
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