derivative of tan(x+sec(x))

Lösung

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

- \frac{1}{- 1 + sin ( x )}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= sec^{2} (x) + sec (x) tan (x)

Vereinfache

sec^{2} (x) + sec (x) tan (x) : - \frac{1}{- 1 + sin ( x )}

= - \frac{1}{- 1 + sin ( x )}

x \to 6 - lim (x + 6)

\int sec (a x) tan (a x) d x

\int \frac{cot ^{2} ( 7 x )}{sec ( 7 x )} d x

\int ln (5 x + 4) d x

\frac{d}{d x} (\frac{1}{sin ( x )} + \frac{1}{cos ( x )})