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Popular Functions >

extreme x^3-2x^2

Solution

extreme points

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

Solution

Maximum (0, 0), Minimum (\frac{4}{3}, - \frac{32}{27})

Solution steps

f^{'} (x) = 3 x^{2} - 4 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{4}{3},

Increasing

: \frac{4}{3} < x < \infty

Plug

x = 0

into

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

Maximum (0, 0)

Plug

x = \frac{4}{3}

into

x^{3} - 2 x^{2} : - \frac{32}{27}

Minimum (\frac{4}{3}, - \frac{32}{27})

Maximum (0, 0), Minimum (\frac{4}{3}, - \frac{32}{27})

Graph

Popular Examples

extreme y= x/2+2/x

extreme f(x)=(2x-2)/(x^2-10x+25)

extreme f(x,y)=5xy

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

extreme (x^2-x-6)/(2x+4)

Frequently Asked Questions (FAQ)

What is the extreme x^3-2x^2 ?
The extreme x^3-2x^2 is Maximum(0,0),Minimum(4/3 ,-32/27)