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Popular >

extreme f(x)=5(x-9)^3

Solution

extreme points

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

Solution

Saddle (9, 0)

Solution steps

f^{'} (x) = 15 (x - 9)^{2}

Find intervals:

Increasing

: - \infty < x < 9,

Increasing

: 9 < x < \infty

Plug

x = 9

into

5 (x - 9)^{3} : 0

Saddle (9, 0)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=5(x-9)^3 ?
The extreme f(x)=5(x-9)^3 is Saddle(9,0)