de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (e^{2x}^{sec(x)})

Lösung

\frac{d}{d x} ((e^{2 x})^{s e c (x)})

Lösung

e^{2 x s e c (x)} \cdot 2 (sec (x) + x sec (x) tan (x))

Schritte zur Lösung

\frac{d}{d x} ((e^{2 x})^{s e c (x)})

Vereinfache

(e^{2 x})^{s e c (x)} : e^{2 x s e c (x)}

= \frac{d}{d x} (e^{2 x s e c (x)})

Wende die Kettenregel an:

e^{2 x s e c (x)} \frac{d}{d x} (2 x sec (x))

= e^{2 x s e c (x)} \frac{d}{d x} (2 x sec (x))

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

= e^{2 x s e c (x)} \cdot 2 (sec (x) + x sec (x) tan (x))

Graph

Beliebte Beispiele

f (t) = 2 sin (t)

tangent f(x)=(3-2x)/(3+2x)

t an g e n t f (x) = \frac{3 - 2 x}{3 + 2 x}

derivative x^{7cos(x)}

d er i v a t i v e x^{7 c o s (x)}

limit as x approaches 6 of 2x+4

x \to 6 lim (2 x + 4)

derivative sqrt(8x)-sqrt(2x)

d er i v a t i v e 8 x - 2 x