What is the inflection f(x)=3x^4+4x^3 ?

The inflection f(x)=3x^4+4x^3 is (-2/3 ,-16/27),(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=3x^4+4x^3

inflection points

f (x) = 3 x^{4} + 4 x^{3}

(- \frac{2}{3}, - \frac{16}{27}), (0, 0)

Solution steps

f^{''} (x) = 36 x^{2} + 24 x

Find intervals:

Concave Upward

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

Concave Downward

: - \frac{2}{3} < x < 0,

Concave Upward

: 0 < x < \infty

Plug

x = - \frac{2}{3}

into

3 x^{4} + 4 x^{3} : - \frac{16}{27}

(- \frac{2}{3}, - \frac{16}{27})

Plug

x = 0

into

3 x^{4} + 4 x^{3} : 0

(0, 0)

(- \frac{2}{3}, - \frac{16}{27}), (0, 0)

x^{4} - 6 x^{2} + 8

f (x) = x^{2} + 7

y = 3 (2^{x})

f (x) = 2^{\frac{x}{5}}

f (x) = x + 7

What is the inflection f(x)=3x^4+4x^3 ?
The inflection f(x)=3x^4+4x^3 is (-2/3 ,-16/27),(0,0)