extreme f(x)=6x+11x^{6/11}

Lösung

extrempunkte

f (x) = 6 x + 11 x^{\frac{6}{11}}

Minimum (- 1, 5), Maximum (0, 0)

Schritte zur Lösung

f^{'} (x) = 6 + \frac{6}{x ^{\frac{5}{11}}}

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < \infty

Stecke

x = - 1

6 x + 11 x^{\frac{6}{11}} : 5

Minimum (- 1, 5)

Stecke

x = 0

6 x + 11 x^{\frac{6}{11}} : 0

Maximum (0, 0)

Minimum (- 1, 5), Maximum (0, 0)

y = \frac{1}{x}

\frac{x}{2 x + 1}

f (x) = \frac{x}{x + 3}

f (x) = ln (3 - x) + \frac{1}{x ^{2} - 4}

f (x) = arctan (\frac{x - 1}{x + 1})