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Popular >

extreme (x^2-4)^7

Solution

extreme points

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

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)

Popular Examples

extreme f(x,y)= 1/(sqrt(16-4x^2-y^2))extreme points

f (x, y) = \frac{1}{16 - 4 x ^{2} - y ^{2}}

extreme f(x)= x/(x^3-2)extreme points

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

extreme f(x)=e^{x^2+y^2-4x}extreme points

f (x) = e^{x^{2} + y^{2} - 4 x}

extreme f(x,y)=(x-y^2)(x-y^3)extreme points

f (x, y) = (x - y^{2}) (x - y^{3})

extreme f(x)=x^4-18x^2+4 extreme points

f (x) = x^{4} - 18 x^{2} + 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)