en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=-x^2+27x-54

Solution

extreme points

y = - x^{2} + 27 x - 54

Solution

Maximum (\frac{27}{2}, \frac{513}{4})

Solution steps

f^{'} (x) = - 2 x + 27

Find intervals:

Increasing

: - \infty < x < \frac{27}{2},

Decreasing

: \frac{27}{2} < x < \infty

Plug

x = \frac{27}{2}

into

- x^{2} + 27 x - 54 : \frac{513}{4}

Maximum (\frac{27}{2}, \frac{513}{4})

Popular Examples

extreme f(x)=x^2-x+3 extreme points

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

domain of f(x)=5x-4 domain

f (x) = 5 x - 4

domain of f(x)= 2/3 x^2 domain

f (x) = \frac{2}{3} x^{2}

slope of y+1=3(x-4)slope

y + 1 = 3 (x - 4)

range of (x+6)^2 range

(x + 6)^{2}

Frequently Asked Questions (FAQ)

What is the extreme y=-x^2+27x-54 ?
The extreme y=-x^2+27x-54 is Maximum(27/2 , 513/4)