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Popular >

inflection (x^3+x^2)^{1/3}

Solution

inflection points

(x^{3} + x^{2})^{\frac{1}{3}}

Solution

(- 1, 0)

Solution steps

f^{''} (x) = - \frac{2 x ^{2}}{9 ( x ^{3} + x ^{2} ) ^{\frac{5}{3}}}

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 0,

Concave Downward

: 0 < x < \infty

Plug

x = - 1

into

(x^{3} + x^{2})^{\frac{1}{3}} : 0

(- 1, 0)

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Frequently Asked Questions (FAQ)

What is the inflection (x^3+x^2)^{1/3} ?
The inflection (x^3+x^2)^{1/3} is (-1,0)