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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{2}x^{1-2})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}x}(3\times \frac{1}{x})
Do the arithmetic.
-3x^{-1-1}
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}.
-3x^{-2}
Do the arithmetic.
\frac{3}{x}
Cancel out 2x in both numerator and denominator.