Differentiate w.r.t. a
a
Evaluate
\frac{a^{2}}{2}
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\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{2}a^{2})
Divide 4a^{2} by 8 to get \frac{1}{2}a^{2}.
2\times \frac{1}{2}a^{2-1}
The derivative of ax^{n} is nax^{n-1}.
a^{2-1}
Multiply 2 times \frac{1}{2}.
a^{1}
Subtract 1 from 2.
a
For any term t, t^{1}=t.
\frac{1}{2}a^{2}
Divide 4a^{2} by 8 to get \frac{1}{2}a^{2}.
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