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

The extreme f(x)=x^3-x^2-8x-2 is Maximum(-4/3 , 122/27),Minimum(2,-14)

Popular >

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

extreme points

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

Maximum (- \frac{4}{3}, \frac{122}{27}), Minimum (2, - 14)

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 - 2 : \frac{122}{27}

Maximum (- \frac{4}{3}, \frac{122}{27})

Plug

x = 2

into

x^{3} - x^{2} - 8 x - 2 : - 14

Minimum (2, - 14)

Maximum (- \frac{4}{3}, \frac{122}{27}), Minimum (2, - 14)

2 x e^{- x}

f (y) = 7 x - x^{2} + 18

y = \frac{x ^{2} - 9}{x - 5}

4 x^{3} - 210 x^{2} + 3600 x - 200

f (x y) = x^{3} - y^{2} - 3 x - 2 y - 2 x y - 3

What is the extreme f(x)=x^3-x^2-8x-2 ?
The extreme f(x)=x^3-x^2-8x-2 is Maximum(-4/3 , 122/27),Minimum(2,-14)