en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme 2x^3-12x^2+10x+10

Solution

extreme points

2 x^{3} - 12 x^{2} + 10 x + 10

Solution

Maximum (\frac{6 - 21}{3}, \frac{576 - 116 21}{9} + 1621 - 66), Minimum (\frac{6 + 21}{3}, \frac{576 + 116 21}{9} - 66 - 1621)

Solution steps

f^{'} (x) = 6 x^{2} - 24 x + 10

Find intervals:

Increasing

: - \infty < x < - \frac{7}{3} + 2,

Decreasing

: - \frac{7}{3} + 2 < x < \frac{7}{3} + 2,

Increasing

: \frac{7}{3} + 2 < x < \infty

Plug

x = \frac{6 - 21}{3}

into

2 x^{3} - 12 x^{2} + 10 x + 10 : \frac{576 - 116 21}{9} + 1621 - 66

Maximum (\frac{6 - 21}{3}, \frac{576 - 116 21}{9} + 1621 - 66)

Plug

x = \frac{6 + 21}{3}

into

2 x^{3} - 12 x^{2} + 10 x + 10 : \frac{576 + 116 21}{9} - 66 - 1621

Minimum (\frac{6 + 21}{3}, \frac{576 + 116 21}{9} - 66 - 1621)

Maximum (\frac{6 - 21}{3}, \frac{576 - 116 21}{9} + 1621 - 66), Minimum (\frac{6 + 21}{3}, \frac{576 + 116 21}{9} - 66 - 1621)

Popular Examples

inverse of (x-5)/(8x+4)inverse

\frac{x - 5}{8 x + 4}

domain of 1/(x^2+4)domain

\frac{1}{x ^{2} + 4}

parity sqrt(2-3/x)parity

2 - \frac{3}{x}

extreme f(x)=x^6e^x-3 extreme points

f (x) = x^{6} e^{x} - 3

domain of y=(x^3)/((x-1)^2)domain

y = \frac{x ^{3}}{( x - 1 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme 2x^3-12x^2+10x+10 ?
The extreme 2x^3-12x^2+10x+10 is