en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=-2x^2-x

Solution

extreme points

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

Solution

Maximum (- \frac{1}{4}, \frac{1}{8})

Solution steps

f^{'} (x) = - 4 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{4},

Decreasing

: - \frac{1}{4} < x < \infty

Plug

x = - \frac{1}{4}

into

- 2 x^{2} - x : \frac{1}{8}

Maximum (- \frac{1}{4}, \frac{1}{8})

Popular Examples

extreme f(x)=x^{2/3}(x+4)extreme points

f (x) = x^{\frac{2}{3}} (x + 4)

extreme f(x,y,λ)=x^2+y^2-(x+2y-5)extreme points

f (x, y, λ) = x^{2} + y^{2} - (x + 2 y - 5)

extreme f(x)=7x^4-28x^{3+7}extreme points

f (x) = 7 x^{4} - 28 x^{3 + 7}

extreme (3/2)^x extreme points

(\frac{3}{2})^{x}

extreme f(x)=(x^3-1)/(x^3+1)extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2-x ?
The extreme f(x)=-2x^2-x is Maximum(-1/4 , 1/8)