Difference between revisions of "Derivative of inverse error function"
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(Created page with "==Theorem== The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}x} \mathrm{erf}^{-1}(x)=\dfrac{\sqrt{\pi}}{2}e^{[\mathrm{erf}^{-1}(x)]^2},$$ where $\mathrm{erf}^{-1}$...") |
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Revision as of 04:37, 16 September 2016
Theorem
The following formula holds: $$\dfrac{\mathrm{d}}{\mathrm{d}x} \mathrm{erf}^{-1}(x)=\dfrac{\sqrt{\pi}}{2}e^{[\mathrm{erf}^{-1}(x)]^2},$$ where $\mathrm{erf}^{-1}$ denotes the inverse error function and $\mathrm{erf}$ denotes the error function.
