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Popular Functions >

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

Solution

inflection points

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

Solution

(- \frac{4}{3}, - \frac{32}{27})

Solution steps

f^{''} (x) = 2 (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

2 x (x + 2)^{2} : - \frac{32}{27}

(- \frac{4}{3}, - \frac{32}{27})

Graph

Popular Examples

extreme f(x)=x^3-4x^2+4x+1

intercepts of f(x)=-2

range of f(x)=2sqrt(x+1)-3

asymptotes of f(x)=((x^2+x+2))/(x-1)

symmetry (x-1)^2+2

Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x(x+2)^2 ?
The inflection f(x)=2x(x+2)^2 is (-4/3 ,-32/27)