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Popular Functions >

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

Solution

extreme

Solution

Minimum (- 3, 27)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 3

into

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

Minimum (- 3, 27)

Graph

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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)