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Popular Functions >

inflection f(x)=3x(x+5)^2

Solution

inflection points

f (x) = 3 x (x + 5)^{2}

Solution

(- \frac{10}{3}, - \frac{250}{9})

Solution steps

f^{''} (x) = 3 (6 x + 20)

Find intervals:

Concave Downward

: - \infty < x < - \frac{10}{3},

Concave Upward

: - \frac{10}{3} < x < \infty

Plug

x = - \frac{10}{3}

into

3 x (x + 5)^{2} : - \frac{250}{9}

(- \frac{10}{3}, - \frac{250}{9})

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=3x(x+5)^2 ?
The inflection f(x)=3x(x+5)^2 is (-10/3 ,-250/9)