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

The inflection f(x)=x^3+4x^2+x+2 is (-4/3 , 146/27)

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inflection f(x)=x^3+4x^2+x+2

inflection points

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

(- \frac{4}{3}, \frac{146}{27})

Solution steps

f^{''} (x) = 6 x + 8

Find intervals:

Concave Downward

: - \infty < x < - \frac{4}{3},

Concave Upward

: - \frac{4}{3} < x < \infty

Plug

x = - \frac{4}{3}

into

x^{3} + 4 x^{2} + x + 2 : \frac{146}{27}

(- \frac{4}{3}, \frac{146}{27})

f (x) = \frac{2 x ^{2}}{5} + 1

ln (x^{2})

f (x) = \frac{( 2 x ^{2} - 3 x - 20 )}{x - 5}

(1, - 3), (3, - 1)

f (x) = \frac{1}{7} (x^{3} - 1)

What is the inflection f(x)=x^3+4x^2+x+2 ?
The inflection f(x)=x^3+4x^2+x+2 is (-4/3 , 146/27)