What is the inflection x^4-50x^2+7 ?

The inflection x^4-50x^2+7 is (-5/(sqrt(3)),-3062/9),(5/(sqrt(3)),-3062/9)

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inflection x^4-50x^2+7

inflection points

x^{4} - 50 x^{2} + 7

(- \frac{5}{3}, - \frac{3062}{9}), (\frac{5}{3}, - \frac{3062}{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} + 7 : - \frac{3062}{9}

(- \frac{5}{3}, - \frac{3062}{9})

Plug

x = \frac{5}{3}

into

x^{4} - 50 x^{2} + 7 : - \frac{3062}{9}

(\frac{5}{3}, - \frac{3062}{9})

(- \frac{5}{3}, - \frac{3062}{9}), (\frac{5}{3}, - \frac{3062}{9})

What is the inflection x^4-50x^2+7 ?
The inflection x^4-50x^2+7 is (-5/(sqrt(3)),-3062/9),(5/(sqrt(3)),-3062/9)