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Beliebt Rechnen >

(\partial)/(\partial x)(z+1-xe^ycos(z))

Lösung

\frac{\partial}{\partial x} (z + 1 - x e^{y} cos (z))

Lösung

- e^{y} cos (z)

Schritte zur Lösung

\frac{\partial}{\partial x} (z + 1 - x e^{y} cos (z))

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (z) + \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (x e^{y} cos (z))

\frac{\partial}{\partial x} (z) = 0

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (x e^{y} cos (z)) = e^{y} cos (z)

= 0 + 0 - e^{y} cos (z)

Vereinfache

= - e^{y} cos (z)

Beliebte Beispiele

derivative y=(arctan(3x))^2

d er i v a t i v e y = (arctan (3 x))^{2}

y^{''}+9y^'=5csc^2(3t)

y^{^{''}} + 9 y^{^{'}} = 5 csc^{2} (3 t)

(\partial)/(\partial x)(ycos(x-y)-z)

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

integral of (x^4(5-x^2))

\int (x^{4} (5 - x^{2})) d x

limit as x approaches 1000 of 18pi^2

x \to 1000 lim (18 π^{2})