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Popular Functions >

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

Solution

inflection points

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

Solution

(- \frac{1}{3}, \frac{2}{27} - 3)

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < - \frac{1}{3},

Concave Upward

: - \frac{1}{3} < x < \infty

Plug

x = - \frac{1}{3}

into

x^{3} + x^{2} - 3 : \frac{2}{27} - 3

(- \frac{1}{3}, \frac{2}{27} - 3)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^3+x^2-3 ?
The inflection f(x)=x^3+x^2-3 is (-1/3 , 2/27-3)