What is the inflection f(x)=x^4-50x^2+4 ?

The inflection f(x)=x^4-50x^2+4 is (-5/(sqrt(3)),-3089/9),(5/(sqrt(3)),-3089/9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=x^4-50x^2+4

inflection points

f (x) = x^{4} - 50 x^{2} + 4

(- \frac{5}{3}, - \frac{3089}{9}), (\frac{5}{3}, - \frac{3089}{9})

Solution steps

f^{''} (x) = 12 x^{2} - 100

Find intervals:

Concave Upward

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

Concave Downward

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

Concave Upward

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

Plug

x = - \frac{5}{3}

into

x^{4} - 50 x^{2} + 4 : - \frac{3089}{9}

(- \frac{5}{3}, - \frac{3089}{9})

Plug

x = \frac{5}{3}

into

x^{4} - 50 x^{2} + 4 : - \frac{3089}{9}

(\frac{5}{3}, - \frac{3089}{9})

(- \frac{5}{3}, - \frac{3089}{9}), (\frac{5}{3}, - \frac{3089}{9})

f (x) = 2 x - 4

(12, 10), (14, - 1.5)

x - 1

(- 8 7), (- 8 - 2)

f (x) = t^{2} + 9

What is the inflection f(x)=x^4-50x^2+4 ?
The inflection f(x)=x^4-50x^2+4 is (-5/(sqrt(3)),-3089/9),(5/(sqrt(3)),-3089/9)