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

The inflection x^{2/3}(1-x) is (-1/5 ,(6(-1/5)^{2/3})/5)

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

inflection points

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

- \frac{1}{5}, \frac{6 ( - \frac{1}{5} ) ^{\frac{2}{3}}}{5}

Solution steps

f^{''} (x) = \frac{- 10 x - 2}{9 x ^{\frac{4}{3}}}

Find intervals:

Concave Upward

: - \infty < x < - \frac{1}{5},

Concave Downward

: - \frac{1}{5} < x < 0,

Concave Downward

: 0 < x < \infty

Plug

x = - \frac{1}{5}

into

x^{\frac{2}{3}} (1 - x) : \frac{6 ( - \frac{1}{5} ) ^{\frac{2}{3}}}{5}

- \frac{1}{5}, \frac{6 ( - \frac{1}{5} ) ^{\frac{2}{3}}}{5}

- 4 - 2 cos (5 x)

f (x) = x^{\frac{1}{3}} - 9

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

4 x + 3 y = 9

(1, 1), (3, 4)

What is the inflection x^{2/3}(1-x) ?
The inflection x^{2/3}(1-x) is (-1/5 ,(6(-1/5)^{2/3})/5)