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Popular >

extreme f(x)=x+4/x

Solution

extreme points

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

Solution

Maximum (- 2, - 4), Minimum (2, 4)

Solution steps

f^{'} (x) = 1 - \frac{4}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

x + \frac{4}{x} : - 4

Maximum (- 2, - 4)

Plug

x = 2

into

x + \frac{4}{x} : 4

Minimum (2, 4)

Maximum (- 2, - 4), Minimum (2, 4)

Graph

Popular Examples

amplitude of f(x)=-cos(-x)+4 amplitude

f (x) = - cos (- x) + 4

line y=4x+3 line

y = 4 x + 3

domain of f(x)= 3/(3/x-5)domain

f (x) = \frac{3}{\frac{3}{x} - 5}

domain of f(x)= 1/(x^2+4x-12)domain

f (x) = \frac{1}{x ^{2} + 4 x - 12}

slope of-5x-2y=-5 slope

- 5 x - 2 y = - 5

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x+4/x ?
The extreme f(x)=x+4/x is Maximum(-2,-4),Minimum(2,4)