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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

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

Minimum (0, 0)

Popular Examples

extreme f(x)= 1/x*ln^2(3x)extreme points

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

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

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

extreme f(x,y)=2x^2+y^2+6xy+10x-6y+5 extreme points

f (x, y) = 2 x^{2} + y^{2} + 6 x y + 10 x - 6 y + 5

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

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

extreme f(x)=2x^4-4x^2+6 extreme points

f (x) = 2 x^{4} - 4 x^{2} + 6

Frequently Asked Questions (FAQ)

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