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Popular >

extreme x^3-2x^2-2

Solution

extreme points

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

Solution

Maximum (0, - 2), Minimum (\frac{4}{3}, - \frac{86}{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} - 2 : - 2

Maximum (0, - 2)

Plug

x = \frac{4}{3}

into

x^{3} - 2 x^{2} - 2 : - \frac{86}{27}

Minimum (\frac{4}{3}, - \frac{86}{27})

Maximum (0, - 2), Minimum (\frac{4}{3}, - \frac{86}{27})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^3-2x^2-2 ?
The extreme x^3-2x^2-2 is Maximum(0,-2),Minimum(4/3 ,-86/27)