en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme y=x^2-5x-2

Solution

extreme points

y = x^{2} - 5 x - 2

Solution

Minimum (\frac{5}{2}, - \frac{33}{4})

Solution steps

f^{'} (x) = 2 x - 5

Find intervals:

Decreasing

: - \infty < x < \frac{5}{2},

Increasing

: \frac{5}{2} < x < \infty

Plug

x = \frac{5}{2}

into

x^{2} - 5 x - 2 : - \frac{33}{4}

Minimum (\frac{5}{2}, - \frac{33}{4})

Graph

Popular Examples

extreme f(x)=x^3-(3x^2)/2

extreme f(x)=2x-4cos(x)

extreme f(x)=16xy-x^3-8y^2

extreme f(x)=x+9/x+3

extreme f(x)=(x^{5/2-1}*e^{-x/2})

Frequently Asked Questions (FAQ)

What is the extreme y=x^2-5x-2 ?
The extreme y=x^2-5x-2 is Minimum(5/2 ,-33/4)