What is the extreme 4x+8/x ?

The extreme 4x+8/x is Maximum(-sqrt(2),-8sqrt(2)),Minimum(sqrt(2),8sqrt(2))

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extreme 4x+8/x

extreme points

4 x + \frac{8}{x}

Maximum (- 2, - 82), Minimum (2, 82)

Solution steps

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

4 x + \frac{8}{x} : - 82

Maximum (- 2, - 82)

Plug

x = 2

into

4 x + \frac{8}{x} : 82

Minimum (2, 82)

Maximum (- 2, - 82), Minimum (2, 82)

f (x) = 4 x^{2} + 24 x

\frac{x ^{3}}{e ^{x}}

x + \frac{33}{x}

y = \frac{1}{3} x^{3} - x^{2} + 2 x

f (x) = 4 x 1 - 5 x

What is the extreme 4x+8/x ?
The extreme 4x+8/x is Maximum(-sqrt(2),-8sqrt(2)),Minimum(sqrt(2),8sqrt(2))