What is the inflection x^{23/11}-x^{12/11} ?

The inflection x^{23/11}-x^{12/11} is (1/23 ,(1/23)^{23/11}-(1/23)^{12/11})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inflection x^{23/11}-x^{12/11}

inflection points

x^{\frac{23}{11}} - x^{\frac{12}{11}}

(\frac{1}{23}, (\frac{1}{23})^{\frac{23}{11}} - (\frac{1}{23})^{\frac{12}{11}})

Solution steps

f^{''} (x) = \frac{276 x - 12}{121 x ^{\frac{10}{11}}}

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Downward

: 0 < x < \frac{1}{23},

Concave Upward

: \frac{1}{23} < x < \infty

Plug

x = \frac{1}{23}

into

x^{\frac{23}{11}} - x^{\frac{12}{11}} : (\frac{1}{23})^{\frac{23}{11}} - (\frac{1}{23})^{\frac{12}{11}}

(\frac{1}{23}, (\frac{1}{23})^{\frac{23}{11}} - (\frac{1}{23})^{\frac{12}{11}})

What is the inflection x^{23/11}-x^{12/11} ?
The inflection x^{23/11}-x^{12/11} is (1/23 ,(1/23)^{23/11}-(1/23)^{12/11})