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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{y}{1}x^{2-1})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}x}(yx^{1})
Do the arithmetic.
yx^{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}.
yx^{0}
Do the arithmetic.
y\times 1
For any term t except 0, t^{0}=1.
y
For any term t, t\times 1=t and 1t=t.
xy
Cancel out x in both numerator and denominator.