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Popular Functions >

extreme x^4-8x^2+9

Solution

extreme points

x^{4} - 8 x^{2} + 9

Solution

Minimum (- 2, - 7), Maximum (0, 9), Minimum (2, - 7)

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} + 9 : - 7

Minimum (- 2, - 7)

Plug

x = 0

into

x^{4} - 8 x^{2} + 9 : 9

Maximum (0, 9)

Plug

x = 2

into

x^{4} - 8 x^{2} + 9 : - 7

Minimum (2, - 7)

Minimum (- 2, - 7), Maximum (0, 9), Minimum (2, - 7)

Graph

Popular Examples

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extreme f(x)=4x+9/x

extreme f(x)= 1/4 x^4-x^3-4x+2

extreme f(x)=x^3+2xy+y^2-5x

Frequently Asked Questions (FAQ)

What is the extreme x^4-8x^2+9 ?
The extreme x^4-8x^2+9 is Minimum(-2,-7),Maximum(0,9),Minimum(2,-7)