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Popular >

extreme f(x)=x^5+x^3

Solution

extreme points

f (x) = x^{5} + x^{3}

Solution

Saddle (0, 0)

Solution steps

Find the critical points:

x = 0

Domain of

x^{5} + x^{3} : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug the extreme point

x = 0

into

x^{5} + x^{3} \Rightarrow y = 0

Saddle (0, 0)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^5+x^3 ?
The extreme f(x)=x^5+x^3 is Saddle(0,0)