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Popular Functions >

extreme f(x)=t-\sqrt[3]{t}

Solution

extreme points

Solution

Solution steps

f^{'} (t) = 1 - \frac{1}{3 t ^{\frac{2}{3}}}

Find intervals:

Increasing

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

Decreasing

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

Decreasing

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

Increasing

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

Plug

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

into

Plug

t = \frac{1}{3 3}

into

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=t-\sqrt[3]{t} ?
The extreme f(x)=t-\sqrt[3]{t} is