derivative of ln(tan(2x))

Lösung

\frac{d}{d x} (ln (tan (2 x)))

2 sec^{2} (2 x) cot (2 x)

Schritte zur Lösung

\frac{d}{d x} (ln (tan (2 x)))

Wende die Kettenregel an:

\frac{1}{tan ( 2 x )} \frac{d}{d x} (tan (2 x))

= \frac{1}{tan ( 2 x )} \frac{d}{d x} (tan (2 x))

\frac{d}{d x} (tan (2 x)) = sec^{2} (2 x) \cdot 2

= \frac{1}{tan ( 2 x )} sec^{2} (2 x) \cdot 2

Vereinfache

\frac{1}{tan ( 2 x )} sec^{2} (2 x) \cdot 2 : 2 sec^{2} (2 x) cot (2 x)

= 2 sec^{2} (2 x) cot (2 x)

\frac{\partial}{\partial t} (1 - cos (t))

\frac{d}{d x} (\frac{8}{x ^{7}})

\int \frac{x ^{2} + 4 x + 1}{x + 3} d x

\int_{0}^{1} t^{3} (1 + t^{4})^{3} d t

t an g e n t f (x) = 7 x - x, (4, 26)