What is the extreme f(x)=0.8x+(72)/x ?

The extreme f(x)=0.8x+(72)/x is Maximum(-3sqrt(10),-15.17893…),Minimum(3sqrt(10),15.17893…)

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extreme f(x)=0.8x+(72)/x

extreme points

f (x) = 0.8 x + \frac{72}{x}

Maximum (- 310, - 15.17893 \dots), Minimum (310, 15.17893 \dots)

Solution steps

Find the critical points:

x = - 310, x = 310

Domain of

0.8 x + \frac{72}{x} : x < 0 or x > 0

Find intervals:

Increasing

: - \infty < x < - 310,

Decreasing

: - 310 < x < 0,

Decreasing

: 0 < x < 310,

Increasing

: 310 < x < \infty

Plug the extreme point

x = - 310

into

0.8 x + \frac{72}{x} \Rightarrow y = - 15.17893 \dots

Maximum (- 310, - 15.17893 \dots)

Plug the extreme point

x = 310

into

0.8 x + \frac{72}{x} \Rightarrow y = 15.17893 \dots

Minimum (310, 15.17893 \dots)

Maximum (- 310, - 15.17893 \dots), Minimum (310, 15.17893 \dots)

f (x) = \frac{x ^{2} - x - 12}{x ^{2} + x - 6}

V (x) = x (24 - 4 x) (24 - 2 x)

f (x) = \frac{3}{x + 5}

x^{2} - 8 x + 2

m = 4, (- 1, - 3)

What is the extreme f(x)=0.8x+(72)/x ?
The extreme f(x)=0.8x+(72)/x is Maximum(-3sqrt(10),-15.17893…),Minimum(3sqrt(10),15.17893…)