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Differentiate w.r.t. k
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\frac{\mathrm{d}}{\mathrm{d}k}(\frac{1}{2}k)
Combine k and -\frac{1}{2}k to get \frac{1}{2}k.
\frac{1}{2}k^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{1}{2}k^{0}
Subtract 1 from 1.
\frac{1}{2}\times 1
For any term t except 0, t^{0}=1.
\frac{1}{2}
For any term t, t\times 1=t and 1t=t.
\frac{1}{2}k
Combine k and -\frac{1}{2}k to get \frac{1}{2}k.