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Beliebt Rechnen >

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

Lösung

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

Lösung

- y sin (x - y)

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= - y sin (x - y) - 0

Vereinfache

= - y sin (x - y)

Beliebte Beispiele

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})

(\partial)/(\partial x)(x(2x-y^3))

\frac{\partial}{\partial x} (x (2 x - y^{3}))

tangent y=sqrt(5x+6),(2,4)

t an g e n t y = 5 x + 6, (2, 4)

integral of (x+3)^2sin(x)

\int (x + 3)^{2} sin (x) d x