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Popular Functions >

extreme x^3-3x+3

Solution

extreme points

x^{3} - 3 x + 3

Solution

Maximum (- 1, 5), Minimum (1, 1)

Solution steps

f^{'} (x) = 3 x^{2} - 3

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x^{3} - 3 x + 3 : 5

Maximum (- 1, 5)

Plug

x = 1

into

x^{3} - 3 x + 3 : 1

Minimum (1, 1)

Maximum (- 1, 5), Minimum (1, 1)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^3-3x+3 ?
The extreme x^3-3x+3 is Maximum(-1,5),Minimum(1,1)