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Popular Functions >

inflection f(x)=x^4-6x^2

Solution

inflection points

f (x) = x^{4} - 6 x^{2}

Solution

(- 1, - 5), (1, - 5)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

x^{4} - 6 x^{2} : - 5

(- 1, - 5)

Plug

x = 1

into

x^{4} - 6 x^{2} : - 5

(1, - 5)

(- 1, - 5), (1, - 5)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-6x^2 ?
The inflection f(x)=x^4-6x^2 is (-1,-5),(1,-5)