en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme y=7+5x-5x^2

Solution

extreme

Solution

Maximum (\frac{1}{2}, \frac{33}{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

7 + 5 x - 5 x^{2} : \frac{33}{4}

Maximum (\frac{1}{2}, \frac{33}{4})

Graph

Popular Examples

extreme f(x)=(-x^{2/3})(x-3)

extreme f(x)=f(x,y)=3x^3-9x+9xy^2

extreme f(x)=5x+5x^{-1}

extreme x+2sin(x)

extreme-0.2x^3-0.7x^2+3x-6

Frequently Asked Questions (FAQ)

What is the extreme y=7+5x-5x^2 ?
The extreme y=7+5x-5x^2 is Maximum(1/2 , 33/4)