de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of tan(xsec(x))

Lösung

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

Lösung

- sec (x) + 2 sec^{3} (x)

Schritte zur Lösung

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = tan (x), g = sec (x)

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

Vereinfache

sec^{2} (x) sec (x) + sec (x) tan (x) tan (x) : - sec (x) + 2 sec^{3} (x)

= - sec (x) + 2 sec^{3} (x)

Graph

Beliebte Beispiele

derivative sin(x)+8/7 cot(x)

d er i v a t i v e sin (x) + \frac{8}{7} cot (x)

s im pl i f y - 1

derivative y=x|x|

d er i v a t i v e y = x ∣ x ∣

derivative of e^x(x^2+3(x^3+4))

\frac{d}{d x} (e^{x} (x^{2} + 3) (x^{3} + 4))

y^{^{''}} + y^{^{'}} = 0