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Popular >

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

Solution

inflection points

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

Solution

(- \frac{4}{3}, - \frac{16}{9})

Solution steps

f^{''} (x) = 3 (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

3 x (x + 2)^{2} : - \frac{16}{9}

(- \frac{4}{3}, - \frac{16}{9})

Popular Examples

range of f(x)=-3-7e^{4/9-5x}range

f (x) = - 3 - 7 e^{\frac{4}{9} - 5 x}

critical x(x-4)^3 critical points

x (x - 4)^{3}

distance (9,15),(4,3)distance

(9, 15), (4, 3)

domain of ((x+1/x)+20)/((x+1/x)+2)domain

\frac{( x + \frac{1}{x} ) + 20}{( x + \frac{1}{x} ) + 2}

asymptotes of y=-2(1/2)^x asymptotes

y = - 2 (\frac{1}{2})^{x}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=3x(x+2)^2 ?
The inflection f(x)=3x(x+2)^2 is (-4/3 ,-16/9)