en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

monotone f(x)=x^3-5x^2+2x+8

Solution

monotone intervals

f (x) = x^{3} - 5 x^{2} + 2 x + 8

Solution

Increasing : - \infty < x < \frac{- 19 + 5}{3}, Decreasing : \frac{- 19 + 5}{3} < x < \frac{19 + 5}{3}, Increasing : \frac{19 + 5}{3} < x < \infty

Solution steps

f^{'} (x) = 3 x^{2} - 10 x + 2

Find intervals:

Increasing

: - \infty < x < \frac{- 19 + 5}{3},

Decreasing

: \frac{- 19 + 5}{3} < x < \frac{19 + 5}{3},

Increasing

: \frac{19 + 5}{3} < x < \infty

Increasing : - \infty < x < \frac{- 19 + 5}{3}, Decreasing : \frac{- 19 + 5}{3} < x < \frac{19 + 5}{3}, Increasing : \frac{19 + 5}{3} < x < \infty

Graph

Popular Examples

intercepts of x^2-4x+3

domain of x^2+4x-1

intercepts of 1/(x+6)

asymptotes of y=log_{6}(x-3)+1

monotone x/(x+1)

Frequently Asked Questions (FAQ)

What is the monotone f(x)=x^3-5x^2+2x+8 ?
The monotone f(x)=x^3-5x^2+2x+8 is