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Popular >

extreme f(x)=(x+5)^{2/3}

Solution

extreme points

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

Solution

Minimum (- 5, 0)

Solution steps

f^{'} (x) = \frac{2}{3 ( x + 5 ) ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < - 5,

Increasing

: - 5 < x < \infty

Plug

x = - 5

into

(x + 5)^{\frac{2}{3}} : 0

Minimum (- 5, 0)

Popular Examples

domain of x^2-6 domain

x^{2} - 6

inverse of f(x)=(2x-1)/(6-5x)inverse

f (x) = \frac{2 x - 1}{6 - 5 x}

slope of y= 2/3 x-3 slope

y = \frac{2}{3} x - 3

inverse of f(x)=(sqrt(x+1))/(sqrt(x-2))inverse

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

intercepts of f(x)=sqrt(x)-2 intercepts

f (x) = x - 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x+5)^{2/3} ?
The extreme f(x)=(x+5)^{2/3} is Minimum(-5,0)