de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(t)=cos^2(e^{cos^2(t)})

Lösung

ableitung von

f (t) = cos^{2} (e^{c o s^{2} (t)})

Lösung

e^{c o s^{2} (t)} sin (2 e^{c o s^{2} (t)}) sin (2 t)

Schritte zur Lösung

\frac{d}{d t} (cos^{2} (e^{c o s^{2} (t)}))

Wende die Kettenregel an:

2 cos (e^{c o s^{2} (t)}) \frac{d}{d t} (cos (e^{c o s^{2} (t)}))

= 2 cos (e^{c o s^{2} (t)}) \frac{d}{d t} (cos (e^{c o s^{2} (t)}))

\frac{d}{d t} (cos (e^{c o s^{2} (t)})) = e^{c o s^{2} (t)} sin (e^{c o s^{2} (t)}) sin (2 t)

= 2 cos (e^{c o s^{2} (t)}) e^{c o s^{2} (t)} sin (e^{c o s^{2} (t)}) sin (2 t)

Verwende die Doppelwinkelidentität:

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

= e^{c o s^{2} (t)} sin (2 e^{c o s^{2} (t)}) sin (2 t)

Graph

Beliebte Beispiele

integral of (19)/(x^2+1)

\int \frac{19}{x ^{2} + 1} d x

(\partial)/(\partial x)(7e^x)

\frac{\partial}{\partial x} (7 e^{x})

integral of x/(x-2)

\int \frac{x}{x - 2} d x

y^'=(x-2)/(y+1)

y^{^{'}} = \frac{x - 2}{y + 1}

integral of-|x|^2

\int - ∣ x ∣^{2} d x