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Popular >

extreme f(x)=sqrt(x+4/x)

Solution

extreme points

f (x) = x + \frac{4}{x}

Solution

Minimum (2, 2)

Solution steps

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

Find intervals:

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

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

Minimum (2, 2)

Popular Examples

extreme 2x^2-12x-5 extreme points

2 x^{2} - 12 x - 5

extreme x^{4/5}(x^2-7)extreme points

x^{\frac{4}{5}} (x^{2} - 7)

extreme f(xy)=2x^2-2xy+y^2+5x-3y extreme points

f (x y) = 2 x^{2} - 2 x y + y^{2} + 5 x - 3 y

extreme f(x)=(1-e^{-(x*3)/5})^x extreme points

f (x) = (1 - e^{- \frac{x \cdot 3}{5}})^{x}

extreme f(x)=5x^2+4x-1 extreme points

f (x) = 5 x^{2} + 4 x - 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=sqrt(x+4/x) ?
The extreme f(x)=sqrt(x+4/x) is Minimum(2,2)