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Popular >

extreme f(x)=1+1/x+1/(x^2)

Solution

extreme points

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

Solution

Minimum (- 2, \frac{3}{4})

Solution steps

f^{'} (x) = - \frac{1}{x ^{2}} - \frac{2}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 0,

Decreasing

: 0 < x < \infty

Plug

x = - 2

into

1 + \frac{1}{x} + \frac{1}{x ^{2}} : \frac{3}{4}

Minimum (- 2, \frac{3}{4})

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=1+1/x+1/(x^2) ?
The extreme f(x)=1+1/x+1/(x^2) is Minimum(-2, 3/4)