Let \(\mathrm{f}\) be a function, and \(C\) an arbitrary constant.
| Differentiation | Integration |
|---|---|
| \[\frac{\mathrm{d}}{\mathrm{d}x} (e^{\mathrm{f}(x)}) = e^{\mathrm{f}(x)} \mathrm{f}'(x)\] | \[\displaystyle \displaystyle\int e^{\mathrm{f}(x)} \mathrm{f}'(x) \, \mathrm{d}x = e^{\mathrm{f}(x)} + C\] |
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