inflection 3x^4-28x^3+60x^2

Lösung

wendepunkte

3 x^{4} - 28 x^{3} + 60 x^{2}

(\frac{7 - 19}{3}, \frac{224 19 - 188}{27}), (\frac{7 + 19}{3}, \frac{- 188 - 224 19}{27})

Schritte zur Lösung

f^{''} (x) = 36 x^{2} - 168 x + 120

Intervalle finden:

Konkav steigend

: - \infty < x < \frac{- 19 + 7}{3},

Konkav fallend

: \frac{- 19 + 7}{3} < x < \frac{19 + 7}{3},

Konkav steigend

: \frac{19 + 7}{3} < x < \infty

Stecke

x = \frac{7 - 19}{3}

3 x^{4} - 28 x^{3} + 60 x^{2} : \frac{224 19 - 188}{27}

(\frac{7 - 19}{3}, \frac{224 19 - 188}{27})

Stecke

x = \frac{7 + 19}{3}

3 x^{4} - 28 x^{3} + 60 x^{2} : \frac{- 188 - 224 19}{27}

(\frac{7 + 19}{3}, \frac{- 188 - 224 19}{27})

(\frac{7 - 19}{3}, \frac{224 19 - 188}{27}), (\frac{7 + 19}{3}, \frac{- 188 - 224 19}{27})

in v erse y = 2^{x - 1}

d o main \frac{x}{∣ x - 2 ∣}

in v erse f (x) = \frac{( x - 1 )}{( x - 2 )}

v er t i ces y = 16 x^{2} - 24 x + 9

d i s t an ce (- 4, 0), (5, 9)