NEW FUNCTION

Function Expression :

\[f(x)=e^{-3x} \]

Domain

\[]-\infty ;+\infty [ \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- 3 e^{- 3 x} \]
\[ \]

Integral

\[F(x) = - \frac{e^{- 3 x}}{3} \]

Sign Table

Variation Table

Plot

Elapsed Time: 0.0775 seconds