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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(9x^{14})
To multiply powers of the same base, add their exponents. Add 2 and 12 to get 14.
14\times 9x^{14-1}
The derivative of ax^{n} is nax^{n-1}.
126x^{14-1}
Multiply 14 times 9.
126x^{13}
Subtract 1 from 14.
9x^{14}
To multiply powers of the same base, add their exponents. Add 2 and 12 to get 14.