What is the extreme f(x)=x+(23)/x ?

The extreme f(x)=x+(23)/x is Maximum(-sqrt(23),-2sqrt(23)),Minimum(sqrt(23),2sqrt(23))

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extreme f(x)=x+(23)/x

extreme

Maximum (- 23, - 223), Minimum (23, 223)

Solution steps

f^{'} (x) = 1 - \frac{23}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 23,

Decreasing

: - 23 < x < 0,

Decreasing

: 0 < x < 23,

Increasing

: 23 < x < \infty

Plug

x = - 23

into

x + \frac{23}{x} : - 223

Maximum (- 23, - 223)

Plug

x = 23

into

x + \frac{23}{x} : 223

Minimum (23, 223)

Maximum (- 23, - 223), Minimum (23, 223)

What is the extreme f(x)=x+(23)/x ?
The extreme f(x)=x+(23)/x is Maximum(-sqrt(23),-2sqrt(23)),Minimum(sqrt(23),2sqrt(23))