Function Expression :
\[f(x)=x+1-e^{(-4x )} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=1 + 4 e^{- 4 x} \]\[f^{\,\prime}(x)=\left(e^{4 x} + 4\right) e^{- 4 x} \]
Integral
\[F(x) = \frac{x^{2}}{2} + x + \frac{e^{- 4 x}}{4} \]Sign Table
Variation Table
Plot
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