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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{\frac{2}{3}} : 0

Minimum (0, 0)

Popular Examples

extreme f(x,y)=9-2x+4y-x^2-4y^2 extreme points

f (x, y) = 9 - 2 x + 4 y - x^{2} - 4 y^{2}

extreme f(x)=x^2e^{-x},-1<= x<= 1 extreme points

f (x) = x^{2} e^{- x}, - 1 \leq x \leq 1

extreme f(x)=x^4+4x^3-2 extreme points

f (x) = x^{4} + 4 x^{3} - 2

extreme f(x,y)=sqrt(36-9x^2-4y^2)extreme points

f (x, y) = 36 - 9 x^{2} - 4 y^{2}

extreme f(x)=-x^3+2x^2 extreme points

f (x) = - x^{3} + 2 x^{2}

Frequently Asked Questions (FAQ)

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