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Popular >

extreme f(x)=x^3-3x

Solution

extreme points

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

Solution

Maximum (- 1, 2), Minimum (1, - 2)

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

Maximum (- 1, 2)

Plug

x = 1

into

x^{3} - 3 x : - 2

Minimum (1, - 2)

Maximum (- 1, 2), Minimum (1, - 2)

Popular Examples

range of f(x)=-sqrt(3x-12)-5 range

f (x) = - 3 x - 12 - 5

domain of f(x)=x^3-1 domain

f (x) = x^{3} - 1

inverse of f(x)= 4/(x-7)inverse

f (x) = \frac{4}{x - 7}

perpendicular y=-1/3 x+4 perpendicular

y = - \frac{1}{3} x + 4

slope ofintercept 3x-4y=-20 slope intercept

3 x - 4 y = - 20

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-3x ?
The extreme f(x)=x^3-3x is Maximum(-1,2),Minimum(1,-2)