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Differentiate w.r.t. a
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}a}(-5a^{9})
To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.
9\left(-5\right)a^{9-1}
The derivative of ax^{n} is nax^{n-1}.
-45a^{9-1}
Multiply 9 times -5.
-45a^{8}
Subtract 1 from 9.
-5a^{9}
To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.