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Popular Functions >

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

Solution

extreme

Solution

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{1}{2},

Decreasing

: - \frac{1}{2} < x < 0,

Decreasing

: 0 < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

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

Maximum (- \frac{1}{2}, - 8)

Plug

x = \frac{1}{2}

into

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

Minimum (\frac{1}{2}, 8)

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

Graph

Popular Examples

extreme f(x)=x^3-3/2 x^2,-3<= x<= 4

extreme f(x)= 2/(x+4)

extreme f(x)=sqrt(2x^2-4x+7)

extreme f(x)=615t-15/5 t^2

extreme f(x)=(2x^2+1)/(x^2-4)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=8x+2/x ?
The extreme f(x)=8x+2/x is Maximum(-1/2 ,-8),Minimum(1/2 ,8)