derivative of cot(x+tan(x))

Lösung

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

- 4 cot (2 x) csc (2 x)

Schritte zur Lösung

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

Vereinfache

cot (x) + tan (x) : 2 csc (2 x)

= \frac{d}{d x} (2 csc (2 x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (csc (2 x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x) = 2

= 2 (- cot (2 x) csc (2 x) \cdot 2)

Vereinfache

= - 4 cot (2 x) csc (2 x)

t an g e n t f (x) = x^{2}, (1, 1)

\int x^{\frac{- 7}{3}} d x

\frac{d}{d x} (\frac{x ^{2} + x + 1}{x ^{2} + 3})

s l o p e (15, 250), (25, 28)

\frac{d}{d x} ((2 - x + 3 x^{2}) (x^{3} + 5 e^{x}))