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Popular >

extreme f(x)=(x+1)^{2/3}

Solution

extreme points

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

Solution

Minimum (- 1, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

(x + 1)^{\frac{2}{3}} : 0

Minimum (- 1, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+1)^{2/3} ?
The extreme f(x)=(x+1)^{2/3} is Minimum(-1,0)