en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme f(x)=-x^2-5x+1

Solution

extreme

Solution

Maximum (- \frac{5}{2}, \frac{29}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = - \frac{5}{2}

into

- x^{2} - 5 x + 1 : \frac{29}{4}

Maximum (- \frac{5}{2}, \frac{29}{4})

Graph

Popular Examples

extreme f(x)=(x^4)/4-(4x^3)/3+2x^2-1

extreme-30x^2-25y^2+480x+300y+170

extreme f(x)=((x-2)^2)/(x-5)

extreme f(x)=-x^2-5x-2

extreme f(x)=3x^3+4x^2+3x-1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2-5x+1 ?
The extreme f(x)=-x^2-5x+1 is Maximum(-5/2 , 29/4)