en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=-5x^2+6x-3

Solution

extreme points

f (x) = - 5 x^{2} + 6 x - 3

Solution

Maximum (\frac{3}{5}, - \frac{6}{5})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{3}{5}

into

- 5 x^{2} + 6 x - 3 : - \frac{6}{5}

Maximum (\frac{3}{5}, - \frac{6}{5})

Popular Examples

perpendicular y=2x+7,(4,-8)perpendicular

y = 2 x + 7, (4, - 8)

slope of y=3x+7 slope

y = 3 x + 7

inverse of f(x)= x/(sqrt(1-x^2))inverse

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

range of f(x)=-1/2 |x-6|+1 range

f (x) = - \frac{1}{2} ∣ x - 6 ∣ + 1

domain of f(x)=sqrt(4x)domain

f (x) = 4 x

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5x^2+6x-3 ?
The extreme f(x)=-5x^2+6x-3 is Maximum(3/5 ,-6/5)