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Popular >

extreme x^3-6x^2

Solution

extreme points

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

Solution

Maximum (0, 0), Minimum (4, - 32)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 0

into

x^{3} - 6 x^{2} : 0

Maximum (0, 0)

Plug

x = 4

into

x^{3} - 6 x^{2} : - 32

Minimum (4, - 32)

Maximum (0, 0), Minimum (4, - 32)

Popular Examples

extreme f(x)=(x^2-5)(x-1)^2(x-2)^3 extreme points

f (x) = (x^{2} - 5) (x - 1)^{2} (x - 2)^{3}

extreme y=sqrt(x)+\sqrt[3]{x}extreme points

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

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

extreme f(x)=y-5x+xy-10 extreme points

f (x) = y - 5 x + x y - 10

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

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

Frequently Asked Questions (FAQ)

What is the extreme x^3-6x^2 ?
The extreme x^3-6x^2 is Maximum(0,0),Minimum(4,-32)