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Popular Functions >

extreme f(x)=x^2+(250)/x

Solution

extreme points

f (x) = x^{2} + \frac{250}{x}

Solution

Minimum (5, 75)

Solution steps

f^{'} (x) = 2 x - \frac{250}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 5

into

x^{2} + \frac{250}{x} : 75

Minimum (5, 75)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+(250)/x ?
The extreme f(x)=x^2+(250)/x is Minimum(5,75)