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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^{10}\times 4)
To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.
10\times 4a^{10-1}
The derivative of ax^{n} is nax^{n-1}.
40a^{10-1}
Multiply 10 times 4.
40a^{9}
Subtract 1 from 10.
a^{10}\times 4
To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.