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Popular Functions >

extreme f(x)=x^3-9x^2+27x-5

Solution

extreme points

f (x) = x^{3} - 9 x^{2} + 27 x - 5

Solution

Saddle (3, 22)

Solution steps

f^{'} (x) = 3 x^{2} - 18 x + 27

Find intervals:

Increasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

x^{3} - 9 x^{2} + 27 x - 5 : 22

Saddle (3, 22)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-9x^2+27x-5 ?
The extreme f(x)=x^3-9x^2+27x-5 is Saddle(3,22)