derivative of csc(x+cot(x))

Lösung

\frac{d}{d x} (csc (x) + cot (x))

- cot (x) csc (x) - csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (csc (x) + cot (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - cot (x) csc (x) - csc^{2} (x)

l a pl a ce t r an s f or m e^{- t} sin (3 t)

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

x \to 0 lim (\frac{1}{x} ln (1 - 2 x))

\frac{d}{d x} (\frac{2 x + 3 x ^{2}}{x ^{2} e ^{x}})

l a pl a ce t r an s f or m t e^{- 3 t} cos (3 t)