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Popular >

extreme f(x)=-6x^{5/3}+\sqrt[3]{x}

Solution

extreme points

Solution

Solution steps

f^{'} (x) = \frac{1 - 30 x ^{\frac{4}{3}}}{3 x ^{\frac{2}{3}}}

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{3 0 ^{\frac{3}{4}}},

Increasing

: - \frac{1}{3 0 ^{\frac{3}{4}}} < x < 0,

Increasing

: 0 < x < \frac{1}{3 0 ^{\frac{3}{4}}},

Decreasing

: \frac{1}{3 0 ^{\frac{3}{4}}} < x < \infty

Plug

into

Plug

into

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-6x^{5/3}+\sqrt[3]{x} ?
The extreme f(x)=-6x^{5/3}+\sqrt[3]{x} is