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Popular >

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

Solution

inflection points

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

Solution

(- \frac{10}{3}, - \frac{500}{27})

Solution steps

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

2 x (x + 5)^{2} : - \frac{500}{27}

(- \frac{10}{3}, - \frac{500}{27})

Popular Examples

range of 1/(-x^2+2x+3)range

\frac{1}{- x ^{2} + 2 x + 3}

domain of f(x)=(5x+4)/(x^2+3x+2)domain

f (x) = \frac{5 x + 4}{x ^{2} + 3 x + 2}

intercepts of f(x)=2x-3y=12 intercepts

f (x) = 2 x - 3 y = 12

inverse of f(x)=\sqrt[3]{x-3}inverse

inflection (x+8)/(x^2-64)inflection points

\frac{x + 8}{x ^{2} - 64}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=2x(x+5)^2 ?
The inflection f(x)=2x(x+5)^2 is (-10/3 ,-500/27)