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Popular >

extreme f(x)=x^4+4/x

Solution

extreme points

f (x) = x^{4} + \frac{4}{x}

Solution

Minimum (1, 5)

Solution steps

Find the critical points:

x = 1

Domain of

x^{4} + \frac{4}{x} : x < 0 or x > 0

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug the extreme point

x = 1

into

x^{4} + \frac{4}{x} \Rightarrow y = 5

Minimum (1, 5)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^4+4/x ?
The extreme f(x)=x^4+4/x is Minimum(1,5)