What is the extreme f(x)=11x^4-66x^2 ?

The extreme f(x)=11x^4-66x^2 is Minimum(-sqrt(3),-99),Maximum(0,0),Minimum(sqrt(3),-99)

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extreme f(x)=11x^4-66x^2

extreme points

f (x) = 11 x^{4} - 66 x^{2}

Minimum (- 3, - 99), Maximum (0, 0), Minimum (3, - 99)

Solution steps

f^{'} (x) = 44 x^{3} - 132 x

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

11 x^{4} - 66 x^{2} : - 99

Minimum (- 3, - 99)

Plug

x = 0

into

11 x^{4} - 66 x^{2} : 0

Maximum (0, 0)

Plug

x = 3

into

11 x^{4} - 66 x^{2} : - 99

Minimum (3, - 99)

Minimum (- 3, - 99), Maximum (0, 0), Minimum (3, - 99)

What is the extreme f(x)=11x^4-66x^2 ?
The extreme f(x)=11x^4-66x^2 is Minimum(-sqrt(3),-99),Maximum(0,0),Minimum(sqrt(3),-99)