What is the inflection f(x)=-x^4-6x^3+2x-8 ?

The inflection f(x)=-x^4-6x^3+2x-8 is (-3,67),(0,-8)

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inflection f(x)=-x^4-6x^3+2x-8

inflection points

f (x) = - x^{4} - 6 x^{3} + 2 x - 8

(- 3, 67), (0, - 8)

Solution steps

f^{''} (x) = - 12 x^{2} - 36 x

Find intervals:

Concave Downward

: - \infty < x < - 3,

Concave Upward

: - 3 < x < 0,

Concave Downward

: 0 < x < \infty

Plug

x = - 3

into

- x^{4} - 6 x^{3} + 2 x - 8 : 67

(- 3, 67)

Plug

x = 0

into

- x^{4} - 6 x^{3} + 2 x - 8 : - 8

(0, - 8)

(- 3, 67), (0, - 8)

x^{2} - 8 x + 9

f (x) = \frac{25}{x ^{2}}

f (x) = \frac{5 x ^{6} - 8}{3 x ^{6} - 11 x ^{2}}

f (x) = \frac{x}{5 x - 2}

(- 1.2) (4)

What is the inflection f(x)=-x^4-6x^3+2x-8 ?
The inflection f(x)=-x^4-6x^3+2x-8 is (-3,67),(0,-8)