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Differentiate w.r.t. a
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}a}(a^{4}\times 2)
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.
4\times 2a^{4-1}
The derivative of ax^{n} is nax^{n-1}.
8a^{4-1}
Multiply 4 times 2.
8a^{3}
Subtract 1 from 4.
a^{4}\times 2
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.