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Popular >

extreme x^3-x^2-8x+8

Solution

extreme points

x^{3} - x^{2} - 8 x + 8

Solution

Maximum (- \frac{4}{3}, \frac{392}{27}), Minimum (2, - 4)

Solution steps

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

Find intervals:

Increasing

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

Decreasing

: - \frac{4}{3} < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - \frac{4}{3}

into

x^{3} - x^{2} - 8 x + 8 : \frac{392}{27}

Maximum (- \frac{4}{3}, \frac{392}{27})

Plug

x = 2

into

x^{3} - x^{2} - 8 x + 8 : - 4

Minimum (2, - 4)

Maximum (- \frac{4}{3}, \frac{392}{27}), Minimum (2, - 4)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^3-x^2-8x+8 ?
The extreme x^3-x^2-8x+8 is Maximum(-4/3 , 392/27),Minimum(2,-4)