What is the extreme f(x)=(x^2-9)^2 ?

The extreme f(x)=(x^2-9)^2 is Minimum(-3,0),Maximum(0,81),Minimum(3,0)

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extreme f(x)=(x^2-9)^2

extreme points

f (x) = (x^{2} - 9)^{2}

Minimum (- 3, 0), Maximum (0, 81), Minimum (3, 0)

Solution steps

f^{'} (x) = 4 x (x^{2} - 9)

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

(x^{2} - 9)^{2} : 0

Minimum (- 3, 0)

Plug

x = 0

into

(x^{2} - 9)^{2} : 81

Maximum (0, 81)

Plug

x = 3

into

(x^{2} - 9)^{2} : 0

Minimum (3, 0)

Minimum (- 3, 0), Maximum (0, 81), Minimum (3, 0)

in v erse f (x) = \frac{8}{x - 1}

p er p e n d i c u l a r y = 4 x + 8, (4, - 1)

d o main x^{2} sin (\frac{1}{x})

d o main f (x) = \frac{x + 9}{x ^{2} - 18 x + 81}

d o main f (x) = \frac{( 1 - 3 x )}{2 + x}

What is the extreme f(x)=(x^2-9)^2 ?
The extreme f(x)=(x^2-9)^2 is Minimum(-3,0),Maximum(0,81),Minimum(3,0)