Function Expression :
\[f(x)=x^{2-4x-5} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = \tilde{+\infty} \]\[\lim_{x \rightarrow+\infty}f(x) = 0 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=x^{\left(-1\right) 4 x - 5 + 2} \left(- 4 \log{\left(x \right)} + \frac{\left(-1\right) 4 x - 5 + 2}{x}\right) \]\[f^{\,\prime}(x)=x^{- 4 x - 4} \left(- 4 x \log{\left(x \right)} - 4 x - 3\right) \]
\[ \]
Integral
\[F(x) = \int x^{- 4 x - 3}\, dx \]Sign Table
Variation Table
Plot
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