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Popular >

extreme g(x)=x+4/(x^2)

Solution

extreme points

g (x) = x + \frac{4}{x ^{2}}

Solution

Minimum (2, 3)

Solution steps

f^{'} (x) = 1 - \frac{8}{x ^{3}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

x + \frac{4}{x ^{2}} : 3

Minimum (2, 3)

Popular Examples

extreme f(1,y)=y^2+y+6 extreme points

f (1, y) = y^{2} + y + 6

extreme f(x)=-10x^2+60x-80 extreme points

f (x) = - 10 x^{2} + 60 x - 80

extreme f(x)=-5/(x-2)extreme points

f (x) = - \frac{5}{x - 2}

extreme f(x)=4x^2-4x+1,-3<= x<= 1 extreme points

f (x) = 4 x^{2} - 4 x + 1, - 3 \leq x \leq 1

extreme f(x)=(x^2-9)^{1/3}extreme points

f (x) = (x^{2} - 9)^{\frac{1}{3}}

Frequently Asked Questions (FAQ)

What is the extreme g(x)=x+4/(x^2) ?
The extreme g(x)=x+4/(x^2) is Minimum(2,3)