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Popular >

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})

Popular Examples

range of y=-3 range

y = - 3

asymptotes of (-4)/(2x-1)asymptotes

\frac{- 4}{2 x - 1}

inflection sqrt(X+3)inflection points

X + 3

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

f (x) = x^{\frac{4}{3}}

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

f (x) = \frac{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)