What is the extreme f(x)=2x^3-6x^2-144x+7 ?

The extreme f(x)=2x^3-6x^2-144x+7 is Maximum(-4,359),Minimum(6,-641)

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extreme f(x)=2x^3-6x^2-144x+7

extreme points

f (x) = 2 x^{3} - 6 x^{2} - 144 x + 7

Maximum (- 4, 359), Minimum (6, - 641)

Solution steps

f^{'} (x) = 6 x^{2} - 12 x - 144

Find intervals:

Increasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < 6,

Increasing

: 6 < x < \infty

Plug

x = - 4

into

2 x^{3} - 6 x^{2} - 144 x + 7 : 359

Maximum (- 4, 359)

Plug

x = 6

into

2 x^{3} - 6 x^{2} - 144 x + 7 : - 641

Minimum (6, - 641)

Maximum (- 4, 359), Minimum (6, - 641)

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

f (x) = x (23 - 41 + 2 x) (\frac{41}{2} - x)

x^{3} - 3 x^{2} - 9 x + 2

x^{3} - 3 x^{2} - 9 x + 4

0.001 x^{3} + 8 x + 16

What is the extreme f(x)=2x^3-6x^2-144x+7 ?
The extreme f(x)=2x^3-6x^2-144x+7 is Maximum(-4,359),Minimum(6,-641)