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Beliebt Rechnen >

(\partial)/(\partial y)(cos(12x)sin(2y))

Lösung

\frac{\partial}{\partial y} (cos (12 x) sin (2 y))

Lösung

cos (12 x) cos (2 y) \cdot 2

Schritte zur Lösung

\frac{\partial}{\partial y} (cos (12 x) sin (2 y))

Behandle

x

als Konstante

Entferne die Konstante:

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

= cos (12 x) \frac{\partial}{\partial y} (sin (2 y))

Wende die Kettenregel an:

cos (2 y) \frac{\partial}{\partial y} (2 y)

= cos (2 y) \frac{\partial}{\partial y} (2 y)

\frac{\partial}{\partial y} (2 y) = 2

= cos (12 x) cos (2 y) \cdot 2

Beliebte Beispiele

derivative f(x)=-247

d er i v a t i v e f (x) = - 247

integral of 1/(sqrt(121+x^2))

\int \frac{1}{121 + x ^{2}} d x

limit as x approaches 2+of (x-3)/(x-2)

x \to 2 + lim (\frac{x - 3}{x - 2})

integral of 2/(sin(x))

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

(\partial)/(\partial x)(x^{0.25}y^{0.75})

\frac{\partial}{\partial x} (x^{0.25} y^{0.75})