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Popular >

extreme f(x)=(x-3)^3+4

Solution

extreme points

f (x) = (x - 3)^{3} + 4

Solution

Saddle (3, 4)

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)^{3} + 4 : 4

Saddle (3, 4)

Popular Examples

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extreme-1/3 x^3-5x^2+2000x-326 extreme points

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f (x) = 3000 x^{2} - 2000 x + 8000

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-3)^3+4 ?
The extreme f(x)=(x-3)^3+4 is Saddle(3,4)