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Popular >

extreme f(x)=2x+8/x

Solution

extreme points

f (x) = 2 x + \frac{8}{x}

Solution

Maximum (- 2, - 8), Minimum (2, 8)

Solution steps

f^{'} (x) = 2 - \frac{8}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

2 x + \frac{8}{x} : - 8

Maximum (- 2, - 8)

Plug

x = 2

into

2 x + \frac{8}{x} : 8

Minimum (2, 8)

Maximum (- 2, - 8), Minimum (2, 8)

Popular Examples

extreme f(x,y)=3x^4+3y^4-2xy extreme points

f (x, y) = 3 x^{4} + 3 y^{4} - 2 x y

extreme f(x)=4x^5-60x^3 extreme points

f (x) = 4 x^{5} - 60 x^{3}

extreme f(x,y)=x^3-3xy-y^3 extreme points

f (x, y) = x^{3} - 3 x y - y^{3}

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

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

extreme 3x^2-18x+15 extreme points

3 x^{2} - 18 x + 15

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x+8/x ?
The extreme f(x)=2x+8/x is Maximum(-2,-8),Minimum(2,8)