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Popular Functions >

extreme f(x)=x^2+(54)/x

Solution

extreme points

f (x) = x^{2} + \frac{54}{x}

Solution

Minimum (3, 27)

Solution steps

f^{'} (x) = 2 x - \frac{54}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

x^{2} + \frac{54}{x} : 27

Minimum (3, 27)

Graph

Popular Examples

domain of f(x)=(x+3)/(x^2+3x+2)

slope ofintercept 6y-8x=54

domain of f(x)=sqrt(x-1)+sqrt(2-x)

asymptotes of f(x)=(x+3)/(x(x-3))

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+(54)/x ?
The extreme f(x)=x^2+(54)/x is Minimum(3,27)