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

The extreme f(x)=2x^3-54x is Maximum(-3,108),Minimum(3,-108)

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extreme f(x)=2x^3-54x

extreme points

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

Maximum (- 3, 108), Minimum (3, - 108)

Solution steps

f^{'} (x) = 6 x^{2} - 54

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

2 x^{3} - 54 x : 108

Maximum (- 3, 108)

Plug

x = 3

into

2 x^{3} - 54 x : - 108

Minimum (3, - 108)

Maximum (- 3, 108), Minimum (3, - 108)

x^{2} + 1

sec (x)

f (x) = lo g_{3} (x - 9)

f (x) = x - 3 = y

What is the extreme f(x)=2x^3-54x ?
The extreme f(x)=2x^3-54x is Maximum(-3,108),Minimum(3,-108)