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Popular >

extreme x^3-3x+2

Solution

extreme points

x^{3} - 3 x + 2

Solution

Maximum (- 1, 4), Minimum (1, 0)

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 + 2 : 4

Maximum (- 1, 4)

Plug

x = 1

into

x^{3} - 3 x + 2 : 0

Minimum (1, 0)

Maximum (- 1, 4), Minimum (1, 0)

Popular Examples

domain of f(x)=-x+1 domain

f (x) = - x + 1

perpendicular y=4x+5 perpendicular

y = 4 x + 5

slope ofintercept 20x+9y=8 slope intercept

20 x + 9 y = 8

periodicity of f(x)=sin(-4x)periodicity

f (x) = sin (- 4 x)

range of f(x)=-x^2+4x range

f (x) = - x^{2} + 4 x

Frequently Asked Questions (FAQ)

What is the extreme x^3-3x+2 ?
The extreme x^3-3x+2 is Maximum(-1,4),Minimum(1,0)