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Popular Functions >

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

Solution

inflection points

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

Solution

(- \frac{8}{3}, - \frac{256}{27})

Solution steps

f^{''} (x) = 2 (6 x + 16)

Find intervals:

Concave Downward

: - \infty < x < - \frac{8}{3},

Concave Upward

: - \frac{8}{3} < x < \infty

Plug

x = - \frac{8}{3}

into

2 x (x + 4)^{2} : - \frac{256}{27}

(- \frac{8}{3}, - \frac{256}{27})

Graph

Popular Examples

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inflection sqrt(X+3)

inflection f(x)=x^{4/3}

inverse of f(x)= 4/x+1

Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x(x+4)^2 ?
The inflection f(x)=2x(x+4)^2 is (-8/3 ,-256/27)