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Popular Functions >

extreme (x-5)^{2/3}

Solution

extreme points

(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)

Graph

Popular Examples

parity f(x)=(tan(x))/(sqrt(4-x^2))

p a r i t y f (x) = \frac{tan ( x )}{4 - x ^{2}}

domain of f(x)=0.5^x

d o main f (x) = 0. 5^{x}

domain of f(x)=(2x^2-3)/5

d o main f (x) = \frac{2 x ^{2} - 3}{5}

inflection f(x)=4x^3-48x

in f l ec t i o n f (x) = 4 x^{3} - 48 x

distance (4,-3),(0,1)

d i s t an ce (4, - 3), (0, 1)

Frequently Asked Questions (FAQ)

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