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Differentiate w.r.t. a
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\frac{\mathrm{d}}{\mathrm{d}a}(100a)
Anything divided by one gives itself.
100a^{1-1}
The derivative of ax^{n} is nax^{n-1}.
100a^{0}
Subtract 1 from 1.
100\times 1
For any term t except 0, t^{0}=1.
100
For any term t, t\times 1=t and 1t=t.
100a
Anything divided by one gives itself.