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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{10-\left(-5\right)})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{15})
Do the arithmetic.
15x^{15-1}
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}.
15x^{14}
Do the arithmetic.
x^{15}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -5 from 10 to get 15.