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Beliebt Rechnen >

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

Lösung

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

Lösung

sin (x) cos (y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die allgemeine Ableitungsregel an:

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

= sin (x) cos (y)

Beliebte Beispiele

(x+y)dx-(x-y)dy=0,y(1)=0

(x + y) d x - (x - y) d y = 0, y (1) = 0

integral of s/(s^2+6s+11)

\int \frac{s}{s ^{2} + 6 s + 11} d s

derivative f(x)=sqrt(4x-3)

d er i v a t i v e f (x) = 4 x - 3

integral of-2cos(2x)

\int - 2 cos (2 x) d x

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

x \to \frac{4}{π} lim (cos (x))