Vyřešit G(varepsilon)=1/sigmasqrt{2pi}e^frac{-varepsilon^2{2sigma^2}}

$$G ( \varepsilon ) = \frac { 1 } { \sigma \sqrt { 2 \pi } } e ^ { \frac { - \varepsilon ^ { 2 } } { 2 \sigma ^ { 2 } } }$$

Vyhodnotit

$$\frac{\sqrt{\frac{2}{\pi }}e^{-\frac{\left(\frac{\epsilon }{\sigma }\right)^{2}}{2}}}{2\sigma }$$

Derivovat vzhledem k ε

$$-\frac{\sqrt{\frac{2}{\pi }}\epsilon e^{-\frac{\left(\frac{\epsilon }{\sigma }\right)^{2}}{2}}}{2\sigma ^{3}}$$