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Popular >

extreme f(x)=x^{1/5}(x+6)

Solution

extreme points

f (x) = x^{\frac{1}{5}} (x + 6)

Solution

Minimum (- 1, - 5)

Solution steps

f^{'} (x) = \frac{6 ( x + 1 )}{5 x ^{\frac{4}{5}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 1

into

x^{\frac{1}{5}} (x + 6) : - 5

Minimum (- 1, - 5)

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^{1/5}(x+6) ?
The extreme f(x)=x^{1/5}(x+6) is Minimum(-1,-5)