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xf=\cot(x)-\sqrt{x}
The equation is in standard form.
\frac{xf}{x}=\frac{\cot(x)-\sqrt{x}}{x}
Divide both sides by x.
f=\frac{\cot(x)-\sqrt{x}}{x}
Dividing by x undoes the multiplication by x.
f=\frac{\frac{\cot(x)}{\sqrt{x}}-1}{\sqrt{x}}
Divide \cot(x)-\sqrt{x} by x.