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Popular >

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

Solution

extreme points

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

Solution

Minimum (3, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

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

Minimum (3, 0)

Popular Examples

domain of f(x)=((3x+8))/(x^2-81)domain

f (x) = \frac{( 3 x + 8 )}{x ^{2} - 81}

midpoint (1,2),(6,-3)midpoint

(1, 2), (6, - 3)

domain of f(x)=(x+8)/(x^2-7)domain

f (x) = \frac{x + 8}{x ^{2} - 7}

symmetry x^2+x-6 symmetry

x^{2} + x - 6

range of f(x)=-x^2+10x-24 range

f (x) = - x^{2} + 10 x - 24

Frequently Asked Questions (FAQ)

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