What is the extreme f(x)=x+(49)/x ?

The extreme f(x)=x+(49)/x is Maximum(-7,-14),Minimum(7,14)

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extreme f(x)=x+(49)/x

extreme points

f (x) = x + \frac{49}{x}

Maximum (- 7, - 14), Minimum (7, 14)

Solution steps

f^{'} (x) = 1 - \frac{49}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 7,

Decreasing

: - 7 < x < 0,

Decreasing

: 0 < x < 7,

Increasing

: 7 < x < \infty

Plug

x = - 7

into

x + \frac{49}{x} : - 14

Maximum (- 7, - 14)

Plug

x = 7

into

x + \frac{49}{x} : 14

Minimum (7, 14)

Maximum (- 7, - 14), Minimum (7, 14)

y = 6 tan (0.2 x)

e^{- x}

f (x) = 7 \cdot 8^{x + 8} + 6

y = x + 2

f (x) = \frac{6 x ^{2} - 1}{x ^{2} - 6 x + 9}

What is the extreme f(x)=x+(49)/x ?
The extreme f(x)=x+(49)/x is Maximum(-7,-14),Minimum(7,14)