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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 3, 0), Minimum (- 1, - 4)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 3

into

x^{3} + 6 x^{2} + 9 x : 0

Maximum (- 3, 0)

Plug

x = - 1

into

x^{3} + 6 x^{2} + 9 x : - 4

Minimum (- 1, - 4)

Maximum (- 3, 0), Minimum (- 1, - 4)

Popular Examples

extreme f(x)=(x^2(x-1))/(x+2)extreme points

f (x) = \frac{x ^{2} ( x - 1 )}{x + 2}

extreme f(x)=2x^3-3x^2-36x+1 extreme points

f (x) = 2 x^{3} - 3 x^{2} - 36 x + 1

extreme f(x,y)=2x^2+4xy^3-2y^2+15 extreme points

f (x, y) = 2 x^{2} + 4 x y^{3} - 2 y^{2} + 15

extreme f(x)=2x^3-3x^2-12x-7 extreme points

f (x) = 2 x^{3} - 3 x^{2} - 12 x - 7

extreme f(x,y)=x^2+y^2+xy-2x-y+1 extreme points

f (x, y) = x^{2} + y^{2} + x y - 2 x - y + 1

Frequently Asked Questions (FAQ)

What is the extreme x^3+6x^2+9x ?
The extreme x^3+6x^2+9x is Maximum(-3,0),Minimum(-1,-4)