# Function calculator

Enter the function (real of one variable $x$). How to type a function ?
$f\left(x\right)=$
:
• The value (or limit) of $f\left(x\right)$ for $x$ = . ( Type infinity for .)
• $f\prime \left(x\right)$ $f″\left(x\right)$ ${f}^{\left(3\right)}\left(x\right)$ ${f}^{\left(4\right)}\left(x\right)$ ${f}^{\left(5\right)}\left(x\right)$.
• The Taylor expansion of $f$, in the neighborhood of , or order .
• $\begin{array}{c}\int \end{array}f\left(x\right)\mathrm{dx}$
• ${\begin{array}{c}\int \end{array}}_{a}^{b}f\left(x\right)\mathrm{dx}$ , or $a=$   and $b=$ .
• The curve of $f$, to .
Optionally, the bound of $f\left(x\right)$  : from to .
• Search for roots and/or extrema of $f\left(x\right)$ for $x$ between and .
Numerical precision: digits.

Output style :

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