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Popular >

extreme x^3-3x+9

Solution

extreme points

x^{3} - 3 x + 9

Solution

Maximum (- 1, 11), Minimum (1, 7)

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 + 9 : 11

Maximum (- 1, 11)

Plug

x = 1

into

x^{3} - 3 x + 9 : 7

Minimum (1, 7)

Maximum (- 1, 11), Minimum (1, 7)

Popular Examples

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(9 - x) (9 - y) (x + y - 9)

extreme f(x)=-4x^2-32x-62 extreme points

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extreme f(x,y)=2x^3+6xy^2-3y^3-150x extreme points

f (x, y) = 2 x^{3} + 6 x y^{2} - 3 y^{3} - 150 x

extreme f(x)=-2x^3-6x^2+48x+4 extreme points

f (x) = - 2 x^{3} - 6 x^{2} + 48 x + 4

extreme f(x)=sin(2x)-cos(2x)extreme points

f (x) = sin (2 x) - cos (2 x)

Frequently Asked Questions (FAQ)

What is the extreme x^3-3x+9 ?
The extreme x^3-3x+9 is Maximum(-1,11),Minimum(1,7)