Differentiate w.r.t. N
\frac{7N^{\frac{5}{2}}}{2}
Evaluate
N^{\frac{7}{2}}
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\frac{\mathrm{d}}{\mathrm{d}N}(N^{\frac{6+1}{2}})
Multiply 3 and 2 to get 6.
\frac{\mathrm{d}}{\mathrm{d}N}(N^{\frac{7}{2}})
Add 6 and 1 to get 7.
\frac{7}{2}N^{\frac{7}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{7}{2}N^{\frac{5}{2}}
Subtract 1 from \frac{7}{2}.
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