derivative sqrt(1+sec(2x))

Lösung

ableitung von

1 + sec (2 x)

\frac{sec ( 2 x ) tan ( 2 x )}{1 + sec ( 2 x )}

Schritte zur Lösung

\frac{d}{d x} (1 + sec (2 x))

Wende die Kettenregel an:

\frac{1}{2 1 + sec ( 2 x )} \frac{d}{d x} (1 + sec (2 x))

= \frac{1}{2 1 + sec ( 2 x )} \frac{d}{d x} (1 + sec (2 x))

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

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

Vereinfache

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

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

l a pl a ce t r an s f or m cos (θ)

x \to 0 lim (e^{x})

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\int - \frac{2}{9 - 9 x ^{2}} d x

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