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Popular >

extreme x^2+4/x

Solution

extreme points

x^{2} + \frac{4}{x}

Solution

Minimum (32, 3 \cdot 2^{\frac{2}{3}})

Solution steps

f^{'} (x) = 2 x - \frac{4}{x ^{2}}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 32,

Increasing

: 32 < x < \infty

Plug

x = 32

into

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

Minimum (32, 3 \cdot 2^{\frac{2}{3}})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^2+4/x ?
The extreme x^2+4/x is Minimum(\sqrt[3]{2},3*2^{2/3})