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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (3 y) cos (3 x) \cdot 3

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= cos (3 y) cos (3 x) \cdot 3

Beliebte Beispiele

integral of cos(x/2)

\int cos (\frac{x}{2}) d x

integral of 4/(x^3-4x^2+8x)

\int \frac{4}{x ^{3} - 4 x ^{2} + 8 x} d x

derivative of x^2csc(5x)

\frac{d}{d x} (x^{2} csc (5 x))

integral of cot(x)csc^2(x)

\int cot (x) csc^{2} (x) d x

limit as x approaches pi/4 of csc(x)

x \to \frac{π}{4} lim (csc (x))