What is the extreme x^4-242x^2-2 ?

The extreme x^4-242x^2-2 is Minimum(-11,-14643),Maximum(0,-2),Minimum(11,-14643)

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extreme x^4-242x^2-2

extreme points

x^{4} - 242 x^{2} - 2

Minimum (- 11, - 14643), Maximum (0, - 2), Minimum (11, - 14643)

Solution steps

f^{'} (x) = 4 x^{3} - 484 x

Find intervals:

Decreasing

: - \infty < x < - 11,

Increasing

: - 11 < x < 0,

Decreasing

: 0 < x < 11,

Increasing

: 11 < x < \infty

Plug

x = - 11

into

x^{4} - 242 x^{2} - 2 : - 14643

Minimum (- 11, - 14643)

Plug

x = 0

into

x^{4} - 242 x^{2} - 2 : - 2

Maximum (0, - 2)

Plug

x = 11

into

x^{4} - 242 x^{2} - 2 : - 14643

Minimum (11, - 14643)

Minimum (- 11, - 14643), Maximum (0, - 2), Minimum (11, - 14643)

f (x) = x (20 - 2 x) (32 - 2 x), 0 < x < 10

f (x) = 3 ∣ x - 1 ∣, 0 < x < 3

f (x) = \frac{x + 3}{x ^{2} - 2 x + 1}

f (x, y) = x^{3} + y^{3} + x y

f (x) = 2 + x^{\frac{2}{5}}

What is the extreme x^4-242x^2-2 ?
The extreme x^4-242x^2-2 is Minimum(-11,-14643),Maximum(0,-2),Minimum(11,-14643)