$$f(x) \frac{ 1 }{ x }$$
$f$
$$\frac{f}{x}x$$
$$f$$
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$1$
$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{f}{x}x)$$
$$\frac{\mathrm{d}}{\mathrm{d}f}(f)$$
$$f^{1-1}$$
$$f^{0}$$
$$1$$