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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{3-\left(-3\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^{6})
Do the arithmetic.
6x^{6-1}
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}.
6x^{5}
Do the arithmetic.
x^{6}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -3 from 3 to get 6.