What is the extreme f(x)=x+(81)/x ?

The extreme f(x)=x+(81)/x is Maximum(-9,-18),Minimum(9,18)

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extreme f(x)=x+(81)/x

extreme points

f (x) = x + \frac{81}{x}

Maximum (- 9, - 18), Minimum (9, 18)

Solution steps

f^{'} (x) = 1 - \frac{81}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 9,

Decreasing

: - 9 < x < 0,

Decreasing

: 0 < x < 9,

Increasing

: 9 < x < \infty

Plug

x = - 9

into

x + \frac{81}{x} : - 18

Maximum (- 9, - 18)

Plug

x = 9

into

x + \frac{81}{x} : 18

Minimum (9, 18)

Maximum (- 9, - 18), Minimum (9, 18)

2 + 4 + 11 x

f (x) = 10 x + 8

f (x) = ln (3) - ln (4 + x)

\frac{8}{( x - 2 ) ^{3}}

f (x) = - x^{2} - 8 x - 7 - 2

What is the extreme f(x)=x+(81)/x ?
The extreme f(x)=x+(81)/x is Maximum(-9,-18),Minimum(9,18)