What is the inflection f(x)=10x^3-3x^5 ?

The inflection f(x)=10x^3-3x^5 is (-1,-7),(0,0),(1,7)

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inflection f(x)=10x^3-3x^5

inflection points

f (x) = 10 x^{3} - 3 x^{5}

(- 1, - 7), (0, 0), (1, 7)

Solution steps

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

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 0,

Concave Upward

: 0 < x < 1,

Concave Downward

: 1 < x < \infty

Plug

x = - 1

into

10 x^{3} - 3 x^{5} : - 7

(- 1, - 7)

Plug

x = 0

into

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

(0, 0)

Plug

x = 1

into

10 x^{3} - 3 x^{5} : 7

(1, 7)

(- 1, - 7), (0, 0), (1, 7)

x^{2}

(1, 6), (- 7, 0)

f (x) = 5 + e^{2 x}

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

\frac{x}{x ^{2} - 6 x + 8}

What is the inflection f(x)=10x^3-3x^5 ?
The inflection f(x)=10x^3-3x^5 is (-1,-7),(0,0),(1,7)