What is the extreme f(x)=88-1/2 x-(3200)/x ?

The extreme f(x)=88-1/2 x-(3200)/x is Minimum(-80,168),Maximum(80,8)

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extreme f(x)=88-1/2 x-(3200)/x

extreme points

f (x) = 88 - \frac{1}{2} x - \frac{3200}{x}

Minimum (- 80, 168), Maximum (80, 8)

Solution steps

f^{'} (x) = \frac{3200}{x ^{2}} - \frac{1}{2}

Find intervals:

Decreasing

: - \infty < x < - 80,

Increasing

: - 80 < x < 0,

Increasing

: 0 < x < 80,

Decreasing

: 80 < x < \infty

Plug

x = - 80

into

88 - \frac{1}{2} x - \frac{3200}{x} : 168

Minimum (- 80, 168)

Plug

x = 80

into

88 - \frac{1}{2} x - \frac{3200}{x} : 8

Maximum (80, 8)

Minimum (- 80, 168), Maximum (80, 8)

What is the extreme f(x)=88-1/2 x-(3200)/x ?
The extreme f(x)=88-1/2 x-(3200)/x is Minimum(-80,168),Maximum(80,8)