臨界点と極値の計算機

臨界点と極値をステップバイステップで求める

この計算機は、一変数関数の臨界点(停留点)、相対(局所)および絶対(大域)の最大値と最小値を求めます。区間を指定できます。

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 contact us.

Your input: find the local and global minima and maxima of $$$f=x^{3} - 3 x^{2}$$$

Critical Points

$$$\left(x, f \left(x \right)\right)=\left(0,0\right)$$$

$$$\left(x, f \left(x \right)\right)=\left(2,-4\right)$$$

Global (Absolute) Minima

No global minima.

Global (Absolute) Maxima

No global maxima.

Local Minima

$$$\left(x, f \left(x \right)\right)=\left(2,-4\right)$$$

Local Maxima

$$$\left(x, f \left(x \right)\right)=\left(0,0\right)$$$

Graph

For graph, see graphing calculator.


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