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Popular Functions >

extreme f(x)=(x-3)^{2/3}

Solution

extreme points

f (x) = (x - 3)^{\frac{2}{3}}

Solution

Minimum (3, 0)

Solution steps

f^{'} (x) = \frac{2}{3 ( x - 3 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

(x - 3)^{\frac{2}{3}} : 0

Minimum (3, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-3)^{2/3} ?
The extreme f(x)=(x-3)^{2/3} is Minimum(3,0)