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Popular Functions >

extreme x^3-6x^2+9x+9

Solution

extreme points

x^{3} - 6 x^{2} + 9 x + 9

Solution

Maximum (1, 13), Minimum (3, 9)

Solution steps

f^{'} (x) = 3 x^{2} - 12 x + 9

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 1

into

x^{3} - 6 x^{2} + 9 x + 9 : 13

Maximum (1, 13)

Plug

x = 3

into

x^{3} - 6 x^{2} + 9 x + 9 : 9

Minimum (3, 9)

Maximum (1, 13), Minimum (3, 9)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme x^3-6x^2+9x+9 ?
The extreme x^3-6x^2+9x+9 is Maximum(1,13),Minimum(3,9)