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Popular Functions >

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

Solution

extreme

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

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

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

extreme p(a,c)=a+8+c

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)