f ( x ) = 0,001 x e ^ { - 0,01 x }
Solve for f
\left\{\begin{matrix}\\f=\frac{e^{-\frac{x}{100}}}{1000}\text{, }&\text{unconditionally}\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-100\ln(f)-300\ln(10)\text{, }&f>0\end{matrix}\right.
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xf=\frac{xe^{-\frac{x}{100}}}{1000}
The equation is in standard form.
\frac{xf}{x}=\frac{xe^{-\frac{x}{100}}}{1000x}
Divide both sides by x.
f=\frac{xe^{-\frac{x}{100}}}{1000x}
Dividing by x undoes the multiplication by x.
f=\frac{e^{-\frac{x}{100}}}{1000}
Divide \frac{xe^{-\frac{x}{100}}}{1000} by x.
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