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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (y) + sin (x)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= cos (y) + sin (x)

Beliebte Beispiele

limit as x approaches 5-of 3

x \to 5 - lim (3)

y^{^{''}} = x^{2} - 1

integral of sqrt(3x-4)

\int 3 x - 4 d x

integral of 1/(u^2+1)

\int \frac{1}{u ^{2} + 1} d u

x/y (dy)/(dx)+ln(y)=x+1

\frac{x}{y} \frac{d y}{d x} + ln (y) = x + 1