Critical Points and Extrema Calculator

The calculator will find the critical points, local and absolute (global) maxima and minima of the single variable function. The interval can be specified.

Enter a function of one variable:
Enter an interval:
Required only for trigonometric functions. For example, `(-2pi, 3pi)` or `[pi/2, oo)`. If you need `oo`, type inf.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your input: find the local and global minima and maxima of $$$f=x e^{- x}$$$

Critical Points

$$$\left(x, f \left(x \right)\right)=\left(1,e^{-1}\right)\approx \left(1,0.367879441171442\right)$$$

Global (Absolute) Minima

No global minima.

Global (Absolute) Maxima

$$$\left(x, f \left(x \right)\right)=\left(1,e^{-1}\right)\approx \left(1,0.367879441171442\right)$$$

Local Minima

No local minima.

Local Maxima

$$$\left(x, f \left(x \right)\right)=\left(1,e^{-1}\right)\approx \left(1,0.367879441171442\right)$$$

Graph

For graph, see graphing calculator.

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