What is the extreme x^4-8x^2-10 ?

The extreme x^4-8x^2-10 is Minimum(-2,-26),Maximum(0,-10),Minimum(2,-26)

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extreme x^4-8x^2-10

extreme points

x^{4} - 8 x^{2} - 10

Minimum (- 2, - 26), Maximum (0, - 10), Minimum (2, - 26)

Solution steps

f^{'} (x) = 4 x^{3} - 16 x

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x^{4} - 8 x^{2} - 10 : - 26

Minimum (- 2, - 26)

Plug

x = 0

into

x^{4} - 8 x^{2} - 10 : - 10

Maximum (0, - 10)

Plug

x = 2

into

x^{4} - 8 x^{2} - 10 : - 26

Minimum (2, - 26)

Minimum (- 2, - 26), Maximum (0, - 10), Minimum (2, - 26)

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

f (r, h) = 2 π r h + 2 π r^{2}

g (t) = u (t)

f (x) = x^{3} + 10 x - 7

What is the extreme x^4-8x^2-10 ?
The extreme x^4-8x^2-10 is Minimum(-2,-26),Maximum(0,-10),Minimum(2,-26)