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Popular Functions >

inflection x^4-24x^2+75

Solution

inflection points

x^{4} - 24 x^{2} + 75

Solution

(- 2, - 5), (2, - 5)

Solution steps

f^{''} (x) = 12 x^{2} - 48

Find intervals:

Concave Upward

: - \infty < x < - 2,

Concave Downward

: - 2 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = - 2

into

x^{4} - 24 x^{2} + 75 : - 5

(- 2, - 5)

Plug

x = 2

into

x^{4} - 24 x^{2} + 75 : - 5

(2, - 5)

(- 2, - 5), (2, - 5)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection x^4-24x^2+75 ?
The inflection x^4-24x^2+75 is (-2,-5),(2,-5)