What is the inflection f(x)=2x^3+3x^2-180x ?

The inflection f(x)=2x^3+3x^2-180x is (-1/2 , 181/2)

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inflection f(x)=2x^3+3x^2-180x

inflection points

f (x) = 2 x^{3} + 3 x^{2} - 180 x

(- \frac{1}{2}, \frac{181}{2})

Solution steps

f^{''} (x) = 12 x + 6

Find intervals:

Concave Downward

: - \infty < x < - \frac{1}{2},

Concave Upward

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

2 x^{3} + 3 x^{2} - 180 x : \frac{181}{2}

(- \frac{1}{2}, \frac{181}{2})

f (x) = \frac{x}{9 - x}

y = ∣ x ∣

f (x) = x - 7

\frac{2}{2 x - 5}

f (x) = 6^{x} + 2

What is the inflection f(x)=2x^3+3x^2-180x ?
The inflection f(x)=2x^3+3x^2-180x is (-1/2 , 181/2)