derivative of ln(x^2-x)

Lösung

\frac{d}{d x} (ln (x^{2} - x))

\frac{2 x - 1}{x ^{2} - x}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} - x))

Wende die Kettenregel an:

\frac{1}{x ^{2} - x} \frac{d}{d x} (x^{2} - x)

= \frac{1}{x ^{2} - x} \frac{d}{d x} (x^{2} - x)

\frac{d}{d x} (x^{2} - x) = 2 x - 1

= \frac{1}{x ^{2} - x} (2 x - 1)

Vereinfache

\frac{1}{x ^{2} - x} (2 x - 1) : \frac{2 x - 1}{x ^{2} - x}

= \frac{2 x - 1}{x ^{2} - x}

t an g e n t y = - 3 cos (x), at x = \frac{- π}{3}

(e^{y} + 1)^{2} e^{- y} d x + (e^{x} + 1)^{3} d y = 0

\int 4 e^{x} + 12 x^{3} + 4 x d x

t an g e n t f (x) = 2 sin (x), at x = \frac{π}{4}

s l o p e (5.2) (- 9.6)