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Popular >

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

Solution

extreme points

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

Solution

Minimum (- 5, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < \infty

Plug

x = - 5

into

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

Minimum (- 5, 0)

Popular Examples

intercepts of-1/5 3^x-2 intercepts

- \frac{1}{5} 3^{x} - 2

asymptotes of f(x)=(10x^2)/(5x^2+2)asymptotes

f (x) = \frac{10 x ^{2}}{5 x ^{2} + 2}

inverse of f(x)= 2/(3-x)inverse

f (x) = \frac{2}{3 - x}

inverse of f(x)=(x-8)^3 inverse

f (x) = (x - 8)^{3}

inverse of f(x)= 5/3 x+10/3 inverse

f (x) = \frac{5}{3} x + \frac{10}{3}

Frequently Asked Questions (FAQ)

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