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Differentiate w.r.t. k
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\frac{\mathrm{d}}{\mathrm{d}k}(\frac{3}{2}k^{2})
Combine k^{2} and \frac{1}{2}k^{2} to get \frac{3}{2}k^{2}.
2\times \frac{3}{2}k^{2-1}
The derivative of ax^{n} is nax^{n-1}.
3k^{2-1}
Multiply 2 times \frac{3}{2}.
3k^{1}
Subtract 1 from 2.
3k
For any term t, t^{1}=t.
\frac{3}{2}k^{2}
Combine k^{2} and \frac{1}{2}k^{2} to get \frac{3}{2}k^{2}.