(\partial)/(\partial x)(cos^2(x))

Lösung

\frac{\partial}{\partial x} (cos^{2} (x))

- sin (2 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos^{2} (x))

Wende die Kettenregel an:

2 cos (x) \frac{\partial}{\partial x} (cos (x))

= 2 cos (x) \frac{\partial}{\partial x} (cos (x))

\frac{\partial}{\partial x} (cos (x)) = - sin (x)

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

Vereinfache

2 cos (x) (- sin (x)) : - sin (2 x)

= - sin (2 x)

d er i v a t i v e (x^{2} (x^{2} + 9 x))^{6}

\frac{\partial}{\partial x} (ln (x + y^{2}))

\frac{\partial}{\partial x} (\frac{2 x y}{x + y})

\int w w^{2} - ln (3) d w

x \to 0 lim (\frac{3 x}{x e ^{x}})