en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme f(x)=3+5x-5x^2

Solution

extreme

Solution

Maximum (\frac{1}{2}, \frac{17}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

3 + 5 x - 5 x^{2} : \frac{17}{4}

Maximum (\frac{1}{2}, \frac{17}{4})

Graph

Popular Examples

extreme f(x)=x^{7/9}

extreme f(x)=(x^2)/(x^2+192)

extreme f(x)=2x^2+4x-5

extreme f(x,y)=3x^2+y^2-xy-11x

extreme f(t)=(t)+2u(t)-3e^{-2t}u(t)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3+5x-5x^2 ?
The extreme f(x)=3+5x-5x^2 is Maximum(1/2 , 17/4)