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Popular >

extreme f(x)=x+1/x

Solution

extreme points

f (x) = x + \frac{1}{x}

Solution

Maximum (- 1, - 2), Minimum (1, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

x + \frac{1}{x} : - 2

Maximum (- 1, - 2)

Plug

x = 1

into

x + \frac{1}{x} : 2

Minimum (1, 2)

Maximum (- 1, - 2), Minimum (1, 2)

Popular Examples

domain of f(x)= 4/(x-6)domain

f (x) = \frac{4}{x - 6}

domain of f(x)=sqrt(2-\sqrt{54-3x-x^2)}domain

f (x) = 2 - 54 - 3 x - x^{2}

simplify (-1.6)(0.7)simplify

(- 1.6) (0.7)

simplify (1.4)(-2.4)simplify

(1.4) (- 2.4)

domain of f(x)=sqrt(4x+8)domain

f (x) = 4 x + 8

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x+1/x ?
The extreme f(x)=x+1/x is Maximum(-1,-2),Minimum(1,2)