de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=sec^2(3x)

Lösung

ableitung von

y = sec^{2} (3 x)

Lösung

6 sec^{2} (3 x) tan (3 x)

Schritte zur Lösung

\frac{d}{d x} (sec^{2} (3 x))

Wende die Kettenregel an:

2 sec (3 x) \frac{d}{d x} (sec (3 x))

= 2 sec (3 x) \frac{d}{d x} (sec (3 x))

\frac{d}{d x} (sec (3 x)) = sec (3 x) tan (3 x) \cdot 3

= 2 sec (3 x) sec (3 x) tan (3 x) \cdot 3

Vereinfache

2 sec (3 x) sec (3 x) tan (3 x) \cdot 3 : 6 sec^{2} (3 x) tan (3 x)

= 6 sec^{2} (3 x) tan (3 x)

Graph

Beliebte Beispiele

integral of (x*cos(5x))

\int (x \cdot cos (5 x)) d x

taylor e^{1/x}0

t a y l or e^{\frac{1}{x}} 0

limit as x approaches+0 of (2^x-3^x)/x

x \to + 0 lim (\frac{2 ^{x} - 3 ^{x}}{x})

derivative e^{9e^x}

d er i v a t i v e e^{9 e^{x}}

(dy)/(dx)= 1/(6x-42)

\frac{d y}{d x} = \frac{1}{6 x - 42}