What is the inflection f(x)=-x^4+16x^3-96x ?

The inflection f(x)=-x^4+16x^3-96x is (0,0),(8,3328)

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inflection f(x)=-x^4+16x^3-96x

inflection points

f (x) = - x^{4} + 16 x^{3} - 96 x

(0, 0), (8, 3328)

Solution steps

f^{''} (x) = - 12 x^{2} + 96 x

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Upward

: 0 < x < 8,

Concave Downward

: 8 < x < \infty

Plug

x = 0

into

- x^{4} + 16 x^{3} - 96 x : 0

(0, 0)

Plug

x = 8

into

- x^{4} + 16 x^{3} - 96 x : 3328

(8, 3328)

(0, 0), (8, 3328)

f (x) = lo g_{2} (x) - 2

f (x) = \frac{4}{x}

f (x) = \frac{5 x}{3 x - 4}

\frac{x ^{2} + 4 x + 3}{x}

f (x) = x \cdot e^{\frac{1}{x}}

What is the inflection f(x)=-x^4+16x^3-96x ?
The inflection f(x)=-x^4+16x^3-96x is (0,0),(8,3328)