de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sin^2(ax)

Lösung

\frac{d}{d x} (sin^{2} (a x))

Lösung

a sin (2 a x)

Schritte zur Lösung

\frac{d}{d x} (sin^{2} (a x))

Wende die Kettenregel an:

2 sin (a x) \frac{d}{d x} (sin (a x))

= 2 sin (a x) \frac{d}{d x} (sin (a x))

\frac{d}{d x} (sin (a x)) = cos (a x) a

= 2 sin (a x) cos (a x) a

Verwende die Doppelwinkelidentität:

2 sin (x) cos (x) = sin (2 x)

= a sin (2 a x)

Graph

Beliebte Beispiele

derivative of (x^2/(5+2x))

integral of x/(sqrt(3x^2+5))

derivative of 4/((x+2^2+16))

(\partial)/(\partial x)((e^x-x)cos(y))