What is the inflection f(x)=x^4-50x^2+8 ?

The inflection f(x)=x^4-50x^2+8 is (-5/(sqrt(3)),-3053/9),(5/(sqrt(3)),-3053/9)

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inflection f(x)=x^4-50x^2+8

inflection points

f (x) = x^{4} - 50 x^{2} + 8

(- \frac{5}{3}, - \frac{3053}{9}), (\frac{5}{3}, - \frac{3053}{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} + 8 : - \frac{3053}{9}

(- \frac{5}{3}, - \frac{3053}{9})

Plug

x = \frac{5}{3}

into

x^{4} - 50 x^{2} + 8 : - \frac{3053}{9}

(\frac{5}{3}, - \frac{3053}{9})

(- \frac{5}{3}, - \frac{3053}{9}), (\frac{5}{3}, - \frac{3053}{9})

y = x^{2} + 2 x - 8

f (x) = \frac{2}{x + 3}

f (x) = \frac{5 x + 4}{7}

(2.2) (- 3.7)

What is the inflection f(x)=x^4-50x^2+8 ?
The inflection f(x)=x^4-50x^2+8 is (-5/(sqrt(3)),-3053/9),(5/(sqrt(3)),-3053/9)