What is the inflection f(x)=3x^5-20x^3 ?

The inflection f(x)=3x^5-20x^3 is (-sqrt(2),28sqrt(2)),(0,0),(sqrt(2),-28sqrt(2))

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inflection f(x)=3x^5-20x^3

inflection

(- 2, 282), (0, 0), (2, - 282)

Solution steps

f^{''} (x) = 60 x^{3} - 120 x

Find intervals:

Concave Downward

: - \infty < x < - 2,

Concave Upward

: - 2 < x < 0,

Concave Downward

: 0 < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = - 2

into

3 x^{5} - 20 x^{3} : 282

(- 2, 282)

Plug

x = 0

into

3 x^{5} - 20 x^{3} : 0

(0, 0)

Plug

x = 2

into

3 x^{5} - 20 x^{3} : - 282

(2, - 282)

(- 2, 282), (0, 0), (2, - 282)

What is the inflection f(x)=3x^5-20x^3 ?
The inflection f(x)=3x^5-20x^3 is (-sqrt(2),28sqrt(2)),(0,0),(sqrt(2),-28sqrt(2))