(\partial)/(\partial u)(sin^2(u))

Lösung

\frac{\partial}{\partial u} (sin^{2} (u))

sin (2 u)

Schritte zur Lösung

\frac{\partial}{\partial u} (sin^{2} (u))

Wende die Kettenregel an:

2 sin (u) \frac{\partial}{\partial u} (sin (u))

= 2 sin (u) \frac{\partial}{\partial u} (sin (u))

\frac{\partial}{\partial u} (sin (u)) = cos (u)

= 2 sin (u) cos (u)

Verwende die Doppelwinkelidentität:

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

= sin (2 u)

t an g e n t 18 cos (x) + 9 sin (2 x)

\int_{0}^{4 π} \frac{1}{2}

n = 1 \sum \infty \frac{n ^{2}}{6 ^{n}}

n or ma l y = 7 x e^{x}, (0, 0)

d er i v a t i v e y = \frac{1}{t ( 8 t + 1 )}