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Popular >

extreme f(x)=(x+4)^{4/5}

Solution

extreme points

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

Solution

Minimum (- 4, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 4,

Increasing

: - 4 < x < \infty

Plug

x = - 4

into

(x + 4)^{\frac{4}{5}} : 0

Minimum (- 4, 0)

Popular Examples

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f (x) = (x + 1)^{2} (2 x - x^{2})

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f (x) = 2 x^{2} - 2 x

extreme f(x)=-x^3-10x extreme points

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extreme f(x,y)=6x^2-5y^2+6x+y+5 extreme points

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extreme f(x)=ln((x+3)/(x-3))extreme points

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+4)^{4/5} ?
The extreme f(x)=(x+4)^{4/5} is Minimum(-4,0)