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Beliebt Rechnen >

(\partial)/(\partial x)(cos(x+3y))

Lösung

\frac{\partial}{\partial x} (cos (x + 3 y))

Lösung

- sin (x + 3 y)

Schritte zur Lösung

\frac{\partial}{\partial x} (cos (x + 3 y))

Behandle

y

als Konstante

Wende die Kettenregel an:

- sin (x + 3 y) \frac{\partial}{\partial x} (x + 3 y)

= - sin (x + 3 y) \frac{\partial}{\partial x} (x + 3 y)

\frac{\partial}{\partial x} (x + 3 y) = 1

= - sin (x + 3 y) \cdot 1

Vereinfache

= - sin (x + 3 y)

Beliebte Beispiele

derivative of 3x^2-2x-1

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

derivative of sqrt(1-2/x)

\frac{d}{d x} (1 - \frac{2}{x})

integral of sqrt(4-2x^2)

\int 4 - 2 x^{2} d x

limit as x approaches 2.99 of x^2+3x

x \to 2.99 lim (x^{2} + 3 x)

laplacetransform e^8

l a pl a ce t r an s f or m e^{8}