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Popular Functions >

extreme x^3-3x^2

Solution

extreme points

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

Solution

Maximum (0, 0), Minimum (2, - 4)

Solution steps

f^{'} (x) = 3 x^{2} - 6 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = 2

into

x^{3} - 3 x^{2} : - 4

Minimum (2, - 4)

Maximum (0, 0), Minimum (2, - 4)

Graph

Popular Examples

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extreme f(x)=(x^2-8)/(x-3)

extreme f(x,y)=sqrt(4-4x^2-4y^2)

extreme f(x)=x^4ln(x)

extreme f(x)=-x^2+4x

Frequently Asked Questions (FAQ)

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