en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=6+x-x^2

Solution

extreme points

f (x) = 6 + x - x^{2}

Solution

Maximum (\frac{1}{2}, \frac{25}{4})

Solution steps

f^{'} (x) = - 2 x + 1

Find intervals:

Increasing

: - \infty < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

6 + x - x^{2} : \frac{25}{4}

Maximum (\frac{1}{2}, \frac{25}{4})

Graph

Popular Examples

extreme f(x)=x^2+9x-5 extreme points

f (x) = x^{2} + 9 x - 5

extreme f(x)=(ln(x))/x ,1<= x<= 3 extreme points

f (x) = \frac{ln ( x )}{x}, 1 \leq x \leq 3

extreme f(x)= x/((x^2+9))extreme points

f (x) = \frac{x}{( x ^{2} + 9 )}

extreme f(x)=3x^4-4x^3+6 extreme points

f (x) = 3 x^{4} - 4 x^{3} + 6

extreme f(x)=x^2-4x-4 extreme points

f (x) = x^{2} - 4 x - 4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6+x-x^2 ?
The extreme f(x)=6+x-x^2 is Maximum(1/2 , 25/4)