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Beliebt Rechnen >

(\partial)/(\partial y)(cos(2x)sin(3y))

Lösung

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

Lösung

cos (2 x) cos (3 y) \cdot 3

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= cos (2 x) cos (3 y) \cdot 3

Beliebte Beispiele

25y^{''}-40y^'+16y=0,y(4)=2,y^'(4)=2

25 y^{^{''}} - 40 y^{^{'}} + 16 y = 0, y (4) = 2, y^{^{'}} (4) = 2

derivative of tan(x-5)

\frac{d}{d x} (tan (x - 5))

integral of xg(x^2)

\int xg (x^{2}) d x

integral of 1/(sqrt(5x+1))

\int \frac{1}{5 x + 1} d x

integral of (8x^2-5x+1)/(x^2+x)

\int \frac{8 x ^{2} - 5 x + 1}{x ^{2} + x} d x