en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=10+5x-x^2

Solution

extreme points

f (x) = 10 + 5 x - x^{2}

Solution

Maximum (\frac{5}{2}, \frac{65}{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

10 + 5 x - x^{2} : \frac{65}{4}

Maximum (\frac{5}{2}, \frac{65}{4})

Graph

Popular Examples

extreme f(x)=2x^2nx-19x^2 extreme points

f (x) = 2 x^{2} n x - 19 x^{2}

extreme f(x,y,z)=-x^2-3y^2+4x-6y-5 extreme points

f (x, y, z) = - x^{2} - 3 y^{2} + 4 x - 6 y - 5

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

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

extreme f(x)=4x+3 extreme points

f (x) = 4 x + 3

extreme f(z)=x^2-y^2-2x+4y+6 extreme points

f (z) = x^{2} - y^{2} - 2 x + 4 y + 6

Frequently Asked Questions (FAQ)

What is the extreme f(x)=10+5x-x^2 ?
The extreme f(x)=10+5x-x^2 is Maximum(5/2 , 65/4)