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Beliebt Rechnen >

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

Lösung

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

Lösung

3 cos (x cos (y)) cos (y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= 3 cos (x cos (y)) cos (y)

Beliebte Beispiele

integral of 1/(1-2x)

\int \frac{1}{1 - 2 x} d x

(\partial)/(\partial x)(xy(1-xy))

\frac{\partial}{\partial x} (x y (1 - x y))

(\partial)/(\partial y)(xe^{2y})

\frac{\partial}{\partial y} (x e^{2 y})

d/(dt)(te^{t^3})

\frac{d}{d t} (t e^{t^{3}})

integral from 3 to 6 of (x^2)

\int_{3}^{6} (x^{2}) d x