en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=-x^2+4x+9

Solution

extreme points

f (x) = - x^{2} + 4 x + 9

Solution

Maximum (2, 13)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- x^{2} + 4 x + 9 : 13

Maximum (2, 13)

Popular Examples

extreme f(x)=x^{-2}ln(x)extreme points

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

extreme x^4-8x^2+9 extreme points

x^{4} - 8 x^{2} + 9

extreme f(x)= 1/(1-x^2-y^2)extreme points

f (x) = \frac{1}{1 - x ^{2} - y ^{2}}

extreme 5x^2ln(x)extreme points

5 x^{2} ln (x)

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+4x+9 ?
The extreme f(x)=-x^2+4x+9 is Maximum(2,13)