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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, 1)

Popular Examples

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f (x) = \frac{e ^{x}}{x ^{5}}

Frequently Asked Questions (FAQ)

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