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Popular >

extreme x^3-4x^2

Solution

extreme points

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

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})

Popular Examples

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Frequently Asked Questions (FAQ)

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