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Beliebt Rechnen >

(\partial)/(\partial x)(cos^2(3x))

Lösung

\frac{\partial}{\partial x} (cos^{2} (3 x))

Lösung

- 3 sin (6 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos^{2} (3 x))

Wende die Kettenregel an:

2 cos (3 x) \frac{\partial}{\partial x} (cos (3 x))

= 2 cos (3 x) \frac{\partial}{\partial x} (cos (3 x))

\frac{\partial}{\partial x} (cos (3 x)) = - sin (3 x) \cdot 3

= 2 cos (3 x) (- sin (3 x) \cdot 3)

Vereinfache

2 cos (3 x) (- sin (3 x) \cdot 3) : - 3 sin (6 x)

= - 3 sin (6 x)

Beliebte Beispiele

(dy)/(dx)+2y=xy^{-2}

\frac{d y}{d x} + 2 y = x y^{- 2}

derivative ln(144sin^2(x))

d er i v a t i v e ln (144 sin^{2} (x))

integral from 8 to 10 of x

\int_{8}^{10} x d x

integral from 1 to e of ln(19x)

\int_{1}^{e} ln (19 x) d x

limit as x approaches 8+of 1/(x+8)

x \to 8 + lim (\frac{1}{x + 8})