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Popular >

extreme x+4/x

Solution

extreme points

x + \frac{4}{x}

Solution

Maximum (- 2, - 4), Minimum (2, 4)

Solution steps

f^{'} (x) = 1 - \frac{4}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = - 2

into

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

Maximum (- 2, - 4)

Plug

x = 2

into

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

Minimum (2, 4)

Maximum (- 2, - 4), Minimum (2, 4)

Popular Examples

extreme f(x)=x^4+4/x extreme points

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

extreme f(x)=((x+1)^3)/((x-1)^2)extreme points

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

extreme f(x)=x^3-3x+1,0<= x<= 3 extreme points

f (x) = x^{3} - 3 x + 1, 0 \leq x \leq 3

extreme f(x)=x^3+2x^2-x+8 extreme points

f (x) = x^{3} + 2 x^{2} - x + 8

extreme f(x)= 1/3 x^3-4x^2+12x-5 extreme points

f (x) = \frac{1}{3} x^{3} - 4 x^{2} + 12 x - 5

Frequently Asked Questions (FAQ)

What is the extreme x+4/x ?
The extreme x+4/x is Maximum(-2,-4),Minimum(2,4)