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Beliebt Rechnen >

(\partial)/(\partial x)(z-sin(xy))

Lösung

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

Lösung

- y cos (x y)

Schritte zur Lösung

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

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} (sin (x y))

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

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

= 0 - cos (x y) y

Vereinfache

= - y cos (x y)

Beliebte Beispiele

integral from 0 to x of (sin(t))/t

\int_{0}^{x} \frac{sin ( t )}{t} d t

derivative of 1/(sqrt(x+5))

\frac{d}{d x} (\frac{1}{x + 5})

derivative f(x)=3x^4-12x^3+9

d er i v a t i v e f (x) = 3 x^{4} - 12 x^{3} + 9

derivative 5arcsin(x^3)

d er i v a t i v e 5 arcsin (x^{3})

integral of 6csc^4(θ)

\int 6 csc^{4} (θ) d θ