What is the inflection f(x)=-x^4-8x^3+7x+7 ?

The inflection f(x)=-x^4-8x^3+7x+7 is (-4,235),(0,7)

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inflection f(x)=-x^4-8x^3+7x+7

inflection points

f (x) = - x^{4} - 8 x^{3} + 7 x + 7

(- 4, 235), (0, 7)

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < - 4,

Concave Upward

: - 4 < x < 0,

Concave Downward

: 0 < x < \infty

Plug

x = - 4

into

- x^{4} - 8 x^{3} + 7 x + 7 : 235

(- 4, 235)

Plug

x = 0

into

- x^{4} - 8 x^{3} + 7 x + 7 : 7

(0, 7)

(- 4, 235), (0, 7)

What is the inflection f(x)=-x^4-8x^3+7x+7 ?
The inflection f(x)=-x^4-8x^3+7x+7 is (-4,235),(0,7)