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Popular >

extreme x-\sqrt[3]{x}

Solution

extreme points

Solution

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{1}{3 3},

Decreasing

: - \frac{1}{3 3} < x < 0,

Decreasing

: 0 < x < \frac{1}{3 3},

Increasing

: \frac{1}{3 3} < x < \infty

Plug

x = - \frac{1}{3 3}

into

Plug

x = \frac{1}{3 3}

into

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Frequently Asked Questions (FAQ)

What is the extreme x-\sqrt[3]{x} ?
The extreme x-\sqrt[3]{x} is