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Differentiate w.r.t. a
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25a^{25-1}+2\left(-12\right)a^{2-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
25a^{24}+2\left(-12\right)a^{2-1}
Subtract 1 from 25.
25a^{24}-24a^{2-1}
Multiply 2 times -12.
25a^{24}-24a^{1}
Subtract 1 from 2.
25a^{24}-24a
For any term t, t^{1}=t.