d/(dt)(cos^2(e^{cos^2(t)}))

Lösung

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

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)

x \to - 2 lim (5 x^{2})

\frac{d y}{d x} = \frac{cos ( 16 x )}{e ^{16 y}}

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

\int_{2}^{3} \frac{31}{3 - x} d x

(t sin (t))^{^{'}}