Evaluate
\frac{P_{150}}{64800}
Differentiate w.r.t. P_150
\frac{1}{64800} = 1.5432098765432098 \times 10^{-5}
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\frac{\frac{1}{3}P_{150}}{72\times 300}
Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.
\frac{\frac{1}{3}P_{150}}{21600}
Multiply 72 and 300 to get 21600.
\frac{1}{64800}P_{150}
Divide \frac{1}{3}P_{150} by 21600 to get \frac{1}{64800}P_{150}.
\frac{\mathrm{d}}{\mathrm{d}P_{150}}(\frac{\frac{1}{3}P_{150}}{72\times 300})
Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.
\frac{\mathrm{d}}{\mathrm{d}P_{150}}(\frac{\frac{1}{3}P_{150}}{21600})
Multiply 72 and 300 to get 21600.
\frac{\mathrm{d}}{\mathrm{d}P_{150}}(\frac{1}{64800}P_{150})
Divide \frac{1}{3}P_{150} by 21600 to get \frac{1}{64800}P_{150}.
\frac{1}{64800}P_{150}^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{1}{64800}P_{150}^{0}
Subtract 1 from 1.
\frac{1}{64800}\times 1
For any term t except 0, t^{0}=1.
\frac{1}{64800}
For any term t, t\times 1=t and 1t=t.
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