What is the inflection f(x)=-x^4-4x^3+8x-1 ?

The inflection f(x)=-x^4-4x^3+8x-1 is (-2,-1),(0,-1)

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inflection f(x)=-x^4-4x^3+8x-1

inflection

(- 2, - 1), (0, - 1)

Solution steps

f^{''} (x) = - 12 x^{2} - 24 x

Find intervals:

Concave Downward

: - \infty < x < - 2,

Concave Upward

: - 2 < x < 0,

Concave Downward

: 0 < x < \infty

Plug

x = - 2

into

- x^{4} - 4 x^{3} + 8 x - 1 : - 1

(- 2, - 1)

Plug

x = 0

into

- x^{4} - 4 x^{3} + 8 x - 1 : - 1

(0, - 1)

(- 2, - 1), (0, - 1)

What is the inflection f(x)=-x^4-4x^3+8x-1 ?
The inflection f(x)=-x^4-4x^3+8x-1 is (-2,-1),(0,-1)