What is the inflection f(x)=2x^3-3x^2-12x ?

The inflection f(x)=2x^3-3x^2-12x is (1/2 ,-13/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=2x^3-3x^2-12x

inflection points

f (x) = 2 x^{3} - 3 x^{2} - 12 x

(\frac{1}{2}, - \frac{13}{2})

Solution steps

f^{''} (x) = 12 x - 6

Find intervals:

Concave Downward

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

Concave Upward

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

Plug

x = \frac{1}{2}

into

2 x^{3} - 3 x^{2} - 12 x : - \frac{13}{2}

(\frac{1}{2}, - \frac{13}{2})

f (x) = x^{24}

\frac{540}{37}

16 - x^{2} + x + 2

f (x) = 2 x^{3} + 3 x^{2} - 72 x

2 x^{3} + 13 x^{2} + 17 x - 12

What is the inflection f(x)=2x^3-3x^2-12x ?
The inflection f(x)=2x^3-3x^2-12x is (1/2 ,-13/2)