derivative f(x)=(sin(x))^2

Lösung

ableitung von

f (x) = (sin (x))^{2}

sin (2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 sin (x) cos (x)

Verwende die Doppelwinkelidentität:

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

= sin (2 x)

a re a x^{2} + 1, 0, 2

\frac{\partial}{\partial x} (f (x, y) (x y))

x \to 0 - lim (\frac{4 - x}{x})

\int \frac{x ^{2} + 1}{x ( x - 1 ) ^{3}} d x

\int sin (3 x) sin (2 x) d x