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Popular Functions >

inflection x^4-x^2

Solution

inflection points

x^{4} - x^{2}

Solution

(- \frac{1}{6}, - \frac{5}{36}), (\frac{1}{6}, - \frac{5}{36})

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - \frac{1}{6},

Concave Downward

: - \frac{1}{6} < x < \frac{1}{6},

Concave Upward

: \frac{1}{6} < x < \infty

Plug

x = - \frac{1}{6}

into

x^{4} - x^{2} : - \frac{5}{36}

(- \frac{1}{6}, - \frac{5}{36})

Plug

x = \frac{1}{6}

into

x^{4} - x^{2} : - \frac{5}{36}

(\frac{1}{6}, - \frac{5}{36})

(- \frac{1}{6}, - \frac{5}{36}), (\frac{1}{6}, - \frac{5}{36})

Graph

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inverse of ax^2-4x+2a

Frequently Asked Questions (FAQ)

What is the inflection x^4-x^2 ?
The inflection x^4-x^2 is (-1/(sqrt(6)),-5/36),(1/(sqrt(6)),-5/36)