Differentiate w.r.t. a
20a^{3}
Evaluate
5a^{4}+16
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\frac{\mathrm{d}}{\mathrm{d}a}(5a^{4}+16)
Combine a^{4} and 4a^{4} to get 5a^{4}.
4\times 5a^{4-1}
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}.
20a^{4-1}
Multiply 4 times 5.
20a^{3}
Subtract 1 from 4.
5a^{4}+16
Combine a^{4} and 4a^{4} to get 5a^{4}.
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