en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 3x+(75)/x

Solution

extreme points

3 x + \frac{75}{x}

Solution

Maximum (- 5, - 30), Minimum (5, 30)

Solution steps

f^{'} (x) = 3 - \frac{75}{x ^{2}}

Find intervals:

Increasing

: - \infty < x < - 5,

Decreasing

: - 5 < x < 0,

Decreasing

: 0 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 5

into

3 x + \frac{75}{x} : - 30

Maximum (- 5, - 30)

Plug

x = 5

into

3 x + \frac{75}{x} : 30

Minimum (5, 30)

Maximum (- 5, - 30), Minimum (5, 30)

Popular Examples

extreme x^2-y^2-6x+6y+2 extreme points

x^{2} - y^{2} - 6 x + 6 y + 2

extreme (2x^2-8)/(-x^2-2x+3)extreme points

\frac{2 x ^{2} - 8}{- x ^{2} - 2 x + 3}

extreme f(x)=6sqrt(x)-1/(7sqrt(x))extreme points

f (x) = 6 x - \frac{1}{7 x}

extreme f(x)=x-3ln(x^2+5)extreme points

f (x) = x - 3 ln (x^{2} + 5)

extreme f(x)=-27xy+x^3+y^3 extreme points

f (x) = - 27 x y + x^{3} + y^{3}

Frequently Asked Questions (FAQ)

What is the extreme 3x+(75)/x ?
The extreme 3x+(75)/x is Maximum(-5,-30),Minimum(5,30)