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

Lösung

wendepunkte

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

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

Schritte zur Lösung

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

Intervalle finden:

Konkav fallend

: - \infty < x < 0,

Konkav fallend

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

Konkav steigend

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

Stecke

x = \frac{1}{23}

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}})

in v erse \frac{1}{x ^{2} + 7}

in t erce pt s \frac{x + 1}{x - 1}

d i s t an ce (- 4, 5), (- 1, 8)

d o main f (x) = \frac{3}{3 - x}

a sy m pt o t es \frac{x - 4}{- 4 x - 16}