What is the extreme 19x+1/x ?

The extreme 19x+1/x is Maximum(-1/(sqrt(19)),-2sqrt(19)),Minimum(1/(sqrt(19)),2sqrt(19))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 19x+1/x

extreme points

19 x + \frac{1}{x}

Maximum (- \frac{1}{19}, - 219), Minimum (\frac{1}{19}, 219)

Solution steps

f^{'} (x) = 19 - \frac{1}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - \frac{1}{19},

Decreasing

: - \frac{1}{19} < x < 0,

Decreasing

: 0 < x < \frac{1}{19},

Increasing

: \frac{1}{19} < x < \infty

Plug

x = - \frac{1}{19}

into

19 x + \frac{1}{x} : - 219

Maximum (- \frac{1}{19}, - 219)

Plug

x = \frac{1}{19}

into

19 x + \frac{1}{x} : 219

Minimum (\frac{1}{19}, 219)

Maximum (- \frac{1}{19}, - 219), Minimum (\frac{1}{19}, 219)

f (x) = x^{2} - 3 x + 1

f (x) = (2 x^{2} - 6 x - 20)

f (x) = (x - 4)

f (x) = lo g_{6} (x^{2})

What is the extreme 19x+1/x ?
The extreme 19x+1/x is Maximum(-1/(sqrt(19)),-2sqrt(19)),Minimum(1/(sqrt(19)),2sqrt(19))