Solve sigma(t)=sigma_{0}exp(-t/lambda)

$$\sigma ( t ) = \sigma _ { 0 } \exp ( - \frac { t } { \lambda } )$$

Evaluate

$$-\frac{eptx\sigma _{0}}{\lambda }$$

Solution Steps

Express \sigma _{0}\left(-\frac{t}{\lambda }\right) as a single fraction.

$$\frac{-\sigma _{0}t}{\lambda }exp$$

Express \frac{-\sigma _{0}t}{\lambda }e as a single fraction.

$$\frac{-\sigma _{0}te}{\lambda }xp$$

Express \frac{-\sigma _{0}te}{\lambda }x as a single fraction.

$$\frac{-\sigma _{0}tex}{\lambda }p$$

Express \frac{-\sigma _{0}tex}{\lambda }p as a single fraction.

$$\frac{-\sigma _{0}texp}{\lambda }$$

Differentiate w.r.t. x

$$-\frac{ept\sigma _{0}}{\lambda }$$