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Popular >

extreme y= x/2+2/x

Solution

extreme points

y = \frac{x}{2} + \frac{2}{x}

Solution

Maximum (- 2, - 2), Minimum (2, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

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

Maximum (- 2, - 2)

Plug

x = 2

into

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

Minimum (2, 2)

Maximum (- 2, - 2), Minimum (2, 2)

Popular Examples

extreme f(x)=(2x-2)/(x^2-10x+25)extreme points

f (x) = \frac{2 x - 2}{x ^{2} - 10 x + 25}

extreme f(x,y)=5xy extreme points

f (x, y) = 5 x y

extreme f(x)= 2/(1+x^2)extreme points

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

extreme (x^2-x-6)/(2x+4)extreme points

\frac{x ^{2} - x - 6}{2 x + 4}

extreme xsqrt(x+3)extreme points

x x + 3

Frequently Asked Questions (FAQ)

What is the extreme y= x/2+2/x ?
The extreme y= x/2+2/x is Maximum(-2,-2),Minimum(2,2)