monotone (x^2+2x+4)/(x-2)

Lösung

monotone intervalle

\frac{x ^{2} + 2 x + 4}{x - 2}

Ansteigend : - \infty < x < 2 (1 - 3), Absteigend : 2 (1 - 3) < x < 2, Absteigend : 2 < x < 2 (1 + 3), Ansteigend : 2 (1 + 3) < x < \infty

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 4 x - 8}{( x - 2 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 2 (1 - 3),

Absteigend

: 2 (1 - 3) < x < 2,

Absteigend

: 2 < x < 2 (1 + 3),

Ansteigend

: 2 (1 + 3) < x < \infty

Ansteigend : - \infty < x < 2 (1 - 3), Absteigend : 2 (1 - 3) < x < 2, Absteigend : 2 < x < 2 (1 + 3), Ansteigend : 2 (1 + 3) < x < \infty

d o main h (x) = \frac{x ^{2} - 8 x + 15}{x ^{2} - 10 x + 21}

m o n o t o n e f (x) = x^{2} + 4 x - 5

d o main 2 - 5 x

in v erse f (x) = \frac{9}{5 x}

p er p e n d i c u l a r y = - \frac{1}{2} x + 4