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Popular Functions >

extreme y=x^3-4x^2

Solution

extreme

Solution

Maximum (0, 0), Minimum (\frac{8}{3}, - \frac{256}{27})

Solution steps

f^{'} (x) = 3 x^{2} - 8 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{8}{3},

Increasing

: \frac{8}{3} < x < \infty

Plug

x = 0

into

x^{3} - 4 x^{2} : 0

Maximum (0, 0)

Plug

x = \frac{8}{3}

into

x^{3} - 4 x^{2} : - \frac{256}{27}

Minimum (\frac{8}{3}, - \frac{256}{27})

Maximum (0, 0), Minimum (\frac{8}{3}, - \frac{256}{27})

Graph

Popular Examples

extreme f(x,y)=3x^3+y^2-9x+4y

extreme f(x)=(-2x^2+14x-24)/(x^2+2x)

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

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

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

Frequently Asked Questions (FAQ)

What is the extreme y=x^3-4x^2 ?
The extreme y=x^3-4x^2 is Maximum(0,0),Minimum(8/3 ,-256/27)