Kalkulator Titik Kritis dan Ekstrema

Temukan titik kritis dan ekstremum langkah demi langkah

Kalkulator akan mencoba menemukan titik kritis (stasioner), serta maksimum dan minimum relatif (lokal) maupun absolut (global) dari fungsi satu variabel. Interval dapat ditentukan.

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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