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Beliebt Rechnen >

(\partial)/(\partial x)(cos(8xy))

Lösung

\frac{\partial}{\partial x} (cos (8 x y))

Lösung

- sin (8 x y) \cdot 8 y

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (8 x y))

Behandle

y

als Konstante

Wende die Kettenregel an:

- sin (8 x y) \frac{\partial}{\partial x} (8 x y)

= - sin (8 x y) \frac{\partial}{\partial x} (8 x y)

\frac{\partial}{\partial x} (8 x y) = 8 y

= - sin (8 x y) \cdot 8 y

Beliebte Beispiele

derivative y=2x+8

d er i v a t i v e y = 2 x + 8

integral of sqrt(1+36x)

\int 1 + 36 x d x

derivative of \sqrt[3]{x^2}(2x-x^2)

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

d/(dt)(ae^{bt})

\frac{d}{d t} (a e^{b t})

(\partial)/(\partial x)(e^{-t})

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