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Popular >

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)

Popular Examples

slope of y= 1/(4-2)slope

y = \frac{1}{4 - 2}

extreme f(x)=2+2x-2x^2 extreme points

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

inverse of (3+6/(s-3))/(s-2+4/(s-3))inverse

\frac{3 + \frac{6}{s - 3}}{s - 2 + \frac{4}{s - 3}}

symmetry (x-4)^2+(y+2)^2=25 symmetry

(x - 4)^{2} + (y + 2)^{2} = 25

extreme x^2-6x+13 extreme points

x^{2} - 6 x + 13

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)