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Beliebt Funktionen >

inflection f(x)=x^{2/5}(x-5)

Lösung

wendepunkte

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

Lösung

- \frac{15}{7}, - \frac{50 ( - \frac{15}{7} ) ^{\frac{2}{5}}}{7}

Schritte zur Lösung

f^{''} (x) = \frac{14 x + 30}{25 x ^{\frac{8}{5}}}

Intervalle finden:

Konkav fallend

: - \infty < x < - \frac{15}{7},

Konkav steigend

: - \frac{15}{7} < x < 0,

Konkav steigend

: 0 < x < \infty

Stecke

x = - \frac{15}{7}

in

x^{\frac{2}{5}} (x - 5) : - \frac{50 ( - \frac{15}{7} ) ^{\frac{2}{5}}}{7}

- \frac{15}{7}, - \frac{50 ( - \frac{15}{7} ) ^{\frac{2}{5}}}{7}

Graph

Beliebte Beispiele

f (x) = 2 x^{2} - 3 x + 1

critical-x^2+8x-9

cr i t i c a l - x^{2} + 8 x - 9

senkrecht x+2y=16

p er p e n d i c u l a r x + 2 y = 16

monotone f(x)=2x+(50)/x

m o n o t o n e f (x) = 2 x + \frac{50}{x}

steigung f(x)=x+2

s l o p e f (x) = x + 2