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Popular >

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

Solution

extreme points

f (x) = 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

Popular Examples

asymptotes of f(x)=(5x-10)/(3x-15)asymptotes

f (x) = \frac{5 x - 10}{3 x - 15}

domain of f(x)=sqrt(x+12)+3 domain

f (x) = x + 12 + 3

domain of f(x)=sqrt(25-x^2)domain

f (x) = 25 - x^{2}

intercepts of y=2x+10 intercepts

y = 2 x + 10

inverse of f(x)=(e^x)/(1+9e^x)inverse

f (x) = \frac{e ^{x}}{1 + 9 e ^{x}}

Frequently Asked Questions (FAQ)

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