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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 1, - 8), Minimum (1, 8)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = - 1

into

4 x + \frac{4}{x} : - 8

Maximum (- 1, - 8)

Plug

x = 1

into

4 x + \frac{4}{x} : 8

Minimum (1, 8)

Maximum (- 1, - 8), Minimum (1, 8)

Graph

Popular Examples

extreme f(x)=7x^4-6x^2-6 extreme points

f (x) = 7 x^{4} - 6 x^{2} - 6

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

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

extreme f(x)=6-8x,-8<= x<= 6 extreme points

f (x) = 6 - 8 x, - 8 \leq x \leq 6

extreme 2x^5-15x^4+30x^3-6 extreme points

2 x^{5} - 15 x^{4} + 30 x^{3} - 6

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4x+4/x ?
The extreme f(x)=4x+4/x is Maximum(-1,-8),Minimum(1,8)