What is the extreme f(x)=x^3-x^2-8x+8 ?

The extreme f(x)=x^3-x^2-8x+8 is Maximum(-4/3 , 392/27),Minimum(2,-4)

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extreme f(x)=x^3-x^2-8x+8

extreme points

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

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)

f (x, y) = 18 x^{2} - 32 y^{2} - 36 x - 128 y - 110

f (x, y) = x^{3} + y^{3} - 24 x y

f (x) = \frac{8}{x} + 2 π x^{2}

f (x, y) = 400 - 9 x^{2} - 36 y^{2}

f (x, y) = \frac{1}{3} x^{3} - x

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