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Differentiate w.r.t. N
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\frac{\mathrm{d}}{\mathrm{d}N}(500N)
Multiply 50 and 10 to get 500.
500N^{1-1}
The derivative of ax^{n} is nax^{n-1}.
500N^{0}
Subtract 1 from 1.
500\times 1
For any term t except 0, t^{0}=1.
500
For any term t, t\times 1=t and 1t=t.
500N
Multiply 50 and 10 to get 500.