en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=|3x-4|

Solution

extreme points

f (x) = ∣ 3 x - 4 ∣

Solution

Minimum (\frac{4}{3}, 0)

Solution steps

Find the critical points:

x = \frac{4}{3}

Find intervals:

Decreasing

: - \infty < x < \frac{4}{3},

Increasing

: \frac{4}{3} < x < \infty

Plug the extreme point

x = \frac{4}{3}

into

∣ 3 x - 4 ∣ \Rightarrow y = 0

Minimum (\frac{4}{3}, 0)

Graph

Popular Examples

extreme f(x,y)=8-3x^2+6x-2y^2+8y extreme points

f (x, y) = 8 - 3 x^{2} + 6 x - 2 y^{2} + 8 y

extreme f(x)=3t+1/t extreme points

f (x) = 3 t + \frac{1}{t}

extreme f(x)=(x+1)e^{2x}extreme points

f (x) = (x + 1) e^{2 x}

extreme x+3 extreme points

x + 3

extreme y=24x^3-3x^4=x^3(24-3x)extreme points

y = 24 x^{3} - 3 x^{4} = x^{3} (24 - 3 x)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=|3x-4| ?
The extreme f(x)=|3x-4| is Minimum(4/3 ,0)