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

Lösung

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

sin (2 y)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 sin (y) cos (y)

Verwende die Doppelwinkelidentität:

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

= sin (2 y)

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

s l o p e (- 4) (12.2)

\frac{\partial}{\partial x} ((x^{9}) (y^{6}) + 7 (x^{5}) y)

\int \frac{2 x ^{2} - 4 x + 4}{3 + 2 x - x ^{2}} d x

y^{^{'}} = y - y^{2}