derivative of ln(csc(x))

Lösung

\frac{d}{d x} (ln (csc (x)))

- cot (x)

Schritte zur Lösung

\frac{d}{d x} (ln (csc (x)))

Wende die Kettenregel an:

\frac{1}{csc ( x )} \frac{d}{d x} (csc (x))

= \frac{1}{csc ( x )} \frac{d}{d x} (csc (x))

\frac{d}{d x} (csc (x)) = - cot (x) csc (x)

= \frac{1}{csc ( x )} (- cot (x) csc (x))

Vereinfache

\frac{1}{csc ( x )} (- cot (x) csc (x)) : - cot (x)

= - cot (x)

\int \frac{1}{x ^{2} 121 - x ^{2}} d x

a re a x^{2} - 1, - x^{2}

t \to 0 lim (cos (2 t))

\frac{d}{d x} (3 + 8 x)

\frac{\partial}{\partial x} ((e)^{x + 2 y})