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Beliebt Funktionen >

inflection x^4-5x^3+x^2+21x-18

Lösung

wendepunkte

x^{4} - 5 x^{3} + x^{2} + 21 x - 18

Lösung

(\frac{15 - 201}{12}, \frac{3095 - 189 201}{288} - 18), (\frac{15 + 201}{12}, \frac{3095 + 189 201}{288} - 18)

Schritte zur Lösung

f^{''} (x) = 12 x^{2} - 30 x + 2

Intervalle finden:

Konkav steigend

: - \infty < x < - \frac{67}{4 3} + \frac{5}{4},

Konkav fallend

: - \frac{67}{4 3} + \frac{5}{4} < x < \frac{67}{4 3} + \frac{5}{4},

Konkav steigend

: \frac{67}{4 3} + \frac{5}{4} < x < \infty

Stecke

x = \frac{15 - 201}{12}

in

x^{4} - 5 x^{3} + x^{2} + 21 x - 18 : \frac{3095 - 189 201}{288} - 18

(\frac{15 - 201}{12}, \frac{3095 - 189 201}{288} - 18)

Stecke

x = \frac{15 + 201}{12}

in

x^{4} - 5 x^{3} + x^{2} + 21 x - 18 : \frac{3095 + 189 201}{288} - 18

(\frac{15 + 201}{12}, \frac{3095 + 189 201}{288} - 18)

(\frac{15 - 201}{12}, \frac{3095 - 189 201}{288} - 18), (\frac{15 + 201}{12}, \frac{3095 + 189 201}{288} - 18)

Graph

Beliebte Beispiele

domäne f(x)= 3/(sqrt(5+x))

d o main f (x) = \frac{3}{5 + x}

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