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Popular >

extreme (x^2+6)^{2/5}

Solution

extreme points

(x^{2} + 6)^{\frac{2}{5}}

Solution

Minimum (0, 6^{\frac{2}{5}})

Solution steps

f^{'} (x) = \frac{4 x}{5 ( x ^{2} + 6 ) ^{\frac{3}{5}}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

(x^{2} + 6)^{\frac{2}{5}} : 6^{\frac{2}{5}}

Minimum (0, 6^{\frac{2}{5}})

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Frequently Asked Questions (FAQ)

What is the extreme (x^2+6)^{2/5} ?
The extreme (x^2+6)^{2/5} is Minimum(0,6^{2/5})