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+7x

Solution

extreme points

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

Solution

Maximum (\frac{7}{2}, \frac{49}{4})

Solution steps

f^{'} (x) = - 2 x + 7

Find intervals:

Increasing

: - \infty < x < \frac{7}{2},

Decreasing

: \frac{7}{2} < x < \infty

Plug

x = \frac{7}{2}

into

- x^{2} + 7 x : \frac{49}{4}

Maximum (\frac{7}{2}, \frac{49}{4})

Popular Examples

extreme f(x,y)=2ln(x)+ln(y)-4x-y extreme points

f (x, y) = 2 ln (x) + ln (y) - 4 x - y

extreme f(x,y)=e^{2x^2+xy+y^2}extreme points

f (x, y) = e^{2 x^{2} + x y + y^{2}}

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

f (x) = \frac{x ^{3}}{x + 4}

extreme f(x)=x^2+6x+10 extreme points

f (x) = x^{2} + 6 x + 10

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2+7x ?
The extreme f(x)=-x^2+7x is Maximum(7/2 , 49/4)