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Popular >

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

Solution

extreme points

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

Solution

Minimum (2, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

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

Minimum (2, 0)

Popular Examples

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Frequently Asked Questions (FAQ)

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