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Popular >

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)

Popular Examples

extreme f(x,y)=16-x^2-y^2 extreme points

f (x, y) = 16 - x^{2} - y^{2}

extreme f(x,y)=3y^3+5x^2y-24x^2-24y^2-2 extreme points

f (x, y) = 3 y^{3} + 5 x^{2} y - 24 x^{2} - 24 y^{2} - 2

extreme f(x,y)=2x^3+3y^2-4xy-4 extreme points

f (x, y) = 2 x^{3} + 3 y^{2} - 4 x y - 4

extreme f(x)=14+4x-x^2,0<= x<= 5 extreme points

f (x) = 14 + 4 x - x^{2}, 0 \leq x \leq 5

extreme-1.8x^2+7x-11 extreme points

- 1.8 x^{2} + 7 x - 11

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)