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Evaluate
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Differentiate w.r.t. u
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\frac{u^{1}}{u^{3}}
Use the rules of exponents to simplify the expression.
u^{1-3}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
u^{-2}
Subtract 3 from 1.
\frac{\mathrm{d}}{\mathrm{d}u}(\frac{1}{1}u^{1-3})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}u}(u^{-2})
Do the arithmetic.
-2u^{-2-1}
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}.
-2u^{-3}
Do the arithmetic.