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)=-3x^2+10x-10

Solution

extreme

Solution

Maximum (\frac{5}{3}, - \frac{5}{3})

Solution steps

f^{'} (x) = - 6 x + 10

Find intervals:

Increasing

: - \infty < x < \frac{5}{3},

Decreasing

: \frac{5}{3} < x < \infty

Plug

x = \frac{5}{3}

into

- 3 x^{2} + 10 x - 10 : - \frac{5}{3}

Maximum (\frac{5}{3}, - \frac{5}{3})

Graph

Popular Examples

extreme f(x)=7sec(x)

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

extreme xsqrt(36-x)

extreme ((x^2-8))/(x-3)

extreme sin(x)cos(x)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-3x^2+10x-10 ?
The extreme f(x)=-3x^2+10x-10 is Maximum(5/3 ,-5/3)