What is the extreme 3x^4-18x^2 ?

The extreme 3x^4-18x^2 is Minimum(-sqrt(3),-27),Maximum(0,0),Minimum(sqrt(3),-27)

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extreme 3x^4-18x^2

extreme points

3 x^{4} - 18 x^{2}

Minimum (- 3, - 27), Maximum (0, 0), Minimum (3, - 27)

Solution steps

f^{'} (x) = 12 x^{3} - 36 x

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

3 x^{4} - 18 x^{2} : - 27

Minimum (- 3, - 27)

Plug

x = 0

into

3 x^{4} - 18 x^{2} : 0

Maximum (0, 0)

Plug

x = 3

into

3 x^{4} - 18 x^{2} : - 27

Minimum (3, - 27)

Minimum (- 3, - 27), Maximum (0, 0), Minimum (3, - 27)

f (x) = 4 x^{2} + 2

y = 1 0^{x}

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

\frac{3}{x + 6}

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

What is the extreme 3x^4-18x^2 ?
The extreme 3x^4-18x^2 is Minimum(-sqrt(3),-27),Maximum(0,0),Minimum(sqrt(3),-27)