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Popular Functions >

extreme (x^2-4)^7

Solution

extreme

Solution

Saddle (- 2, 0), Minimum (0, - 16384), Saddle (2, 0)

Solution steps

f^{'} (x) = 14 x (x^{2} - 4)^{6}

Find intervals:

Decreasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

(x^{2} - 4)^{7} : 0

Saddle (- 2, 0)

Plug

x = 0

into

(x^{2} - 4)^{7} : - 16384

Minimum (0, - 16384)

Plug

x = 2

into

(x^{2} - 4)^{7} : 0

Saddle (2, 0)

Saddle (- 2, 0), Minimum (0, - 16384), Saddle (2, 0)

Graph

Popular Examples

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extreme f(x)=x^2+10x+9

extreme y=7x-7z-9

solvefor y,y<3x-4

Frequently Asked Questions (FAQ)

What is the extreme (x^2-4)^7 ?
The extreme (x^2-4)^7 is Saddle(-2,0),Minimum(0,-16384),Saddle(2,0)