What is the extreme f(x)=-6x^3-54x^2-144x-90 ?

The extreme f(x)=-6x^3-54x^2-144x-90 is Minimum(-4,6),Maximum(-2,30)

extreme f(x)=-6x^3-54x^2-144x-90

extreme points

f (x) = - 6 x^{3} - 54 x^{2} - 144 x - 90

Minimum (- 4, 6), Maximum (- 2, 30)

Solution steps

f^{'} (x) = - 18 x^{2} - 108 x - 144

Find intervals:

Decreasing

: - \infty < x < - 4,

Increasing

: - 4 < x < - 2,

Decreasing

: - 2 < x < \infty

Plug

x = - 4

into

- 6 x^{3} - 54 x^{2} - 144 x - 90 : 6

Minimum (- 4, 6)

Plug

x = - 2

into

- 6 x^{3} - 54 x^{2} - 144 x - 90 : 30

Maximum (- 2, 30)

Minimum (- 4, 6), Maximum (- 2, 30)

f (x) = (\frac{x + y - x y}{x - y + x y})

3 (x + 2) (x - 10)

f (x, y) = 1 - x^{2} - x - 3 y^{2} + y

f (x) = 1.4 t e^{- 2.9 t}

f (x) = 2 x^{3} - 9 x^{2} - 24 x + 9, - 2 \leq x \leq 5

What is the extreme f(x)=-6x^3-54x^2-144x-90 ?
The extreme f(x)=-6x^3-54x^2-144x-90 is Minimum(-4,6),Maximum(-2,30)