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Beliebt Rechnen >

(\partial)/(\partial x)(xcos(y)-ysin(x))

Lösung

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

Lösung

cos (y) - y cos (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (y) - y cos (x)

Beliebte Beispiele

limit as x approaches 1 of ((5-5x))/(1-sqrt(x))

x \to 1 lim (\frac{( 5 - 5 x )}{1 - x})

x(dy)/(dx)-y=0,y(a)=b

x \frac{d y}{d x} - y = 0, y (a) = b

y^{^{'}} + 2 x y = x

integral of-xarctan(x)

\int - x arctan (x) d x

integral from 0 to 1 of sqrt(x^2+1)

\int_{0}^{1} x^{2} + 1 d x