What is the inflection x^4-50x^2+5 ?

The inflection x^4-50x^2+5 is (-5/(sqrt(3)),-3080/9),(5/(sqrt(3)),-3080/9)

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inflection x^4-50x^2+5

inflection points

x^{4} - 50 x^{2} + 5

(- \frac{5}{3}, - \frac{3080}{9}), (\frac{5}{3}, - \frac{3080}{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} + 5 : - \frac{3080}{9}

(- \frac{5}{3}, - \frac{3080}{9})

Plug

x = \frac{5}{3}

into

x^{4} - 50 x^{2} + 5 : - \frac{3080}{9}

(\frac{5}{3}, - \frac{3080}{9})

(- \frac{5}{3}, - \frac{3080}{9}), (\frac{5}{3}, - \frac{3080}{9})

f (x) = x^{3} + 3 x^{2} + 1

3 x - 5 y = 4

- (\frac{1}{3})^{x}

x^{2} - 2 x + 3

f (x) = 2 x + 13

What is the inflection x^4-50x^2+5 ?
The inflection x^4-50x^2+5 is (-5/(sqrt(3)),-3080/9),(5/(sqrt(3)),-3080/9)