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Popular >

extreme f(x)=x^{2/3}-1

Solution

extreme points

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

Solution

Minimum (0, - 1)

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}} - 1 : - 1

Minimum (0, - 1)

Popular Examples

extreme f(x)=48xy-32x^3-24y^2 extreme points

f (x) = 48 x y - 32 x^{3} - 24 y^{2}

extreme f(x)=x^3-6x^2+12x-3 extreme points

f (x) = x^{3} - 6 x^{2} + 12 x - 3

extreme f(x)=x^3-x+1 extreme points

f (x) = x^{3} - x + 1

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

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

extreme f(x)= 1/x ,1<x<3 extreme points

f (x) = \frac{1}{x}, 1 < x < 3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^{2/3}-1 ?
The extreme f(x)=x^{2/3}-1 is Minimum(0,-1)