en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=7+3x+x^2

Solution

extreme points

f (x) = 7 + 3 x + x^{2}

Solution

Minimum (- \frac{3}{2}, \frac{19}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - \frac{3}{2},

Increasing

: - \frac{3}{2} < x < \infty

Plug

x = - \frac{3}{2}

into

7 + 3 x + x^{2} : \frac{19}{4}

Minimum (- \frac{3}{2}, \frac{19}{4})

Graph

Popular Examples

extreme-0.25x^2+40x+300 extreme points

- 0.25 x^{2} + 40 x + 300

extreme f(x,y)=2x^2+2xy+y^2+4x-2y+1 extreme points

f (x, y) = 2 x^{2} + 2 x y + y^{2} + 4 x - 2 y + 1

extreme x+cos(x)extreme points

x + cos (x)

extreme f(x)=(900x)/(10+45x)extreme points

f (x) = \frac{900 x}{10 + 45 x}

extreme (5x)/(x^2-1)extreme points

\frac{5 x}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=7+3x+x^2 ?
The extreme f(x)=7+3x+x^2 is Minimum(-3/2 , 19/4)