NEW FUNCTION

Function Expression :

\[f(x)=e^{2x}-3e^x+2 \]

Domain

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

Limits

\[\lim_{x \rightarrow-\infty}f(x) = 2 \]
\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]

Derivate

\[f^{\,\prime}(x)=2 e^{2 x} - 3 e^{x} \]
\[f^{\,\prime}(x)=\left(2 e^{x} - 3\right) e^{x} \]
\[ \]

Integral

\[F(x) = 2 x + \frac{e^{2 x}}{2} - 3 e^{x} \]

Sign Table

Variation Table

Plot

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