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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (x) + y sin (x y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= cos (x) - (- sin (x y) y)

Vereinfache

= cos (x) + y sin (x y)

Beliebte Beispiele

f (x) = - 8 cos (2 x)

integral from-3 to 3 of (sqrt(9-x^2))

\int_{- 3}^{3} (9 - x^{2}) d x

integral of (sqrt(169-x^2))/x

\int \frac{169 - x ^{2}}{x} d x

derivative of 2cos(x^2)

\frac{d}{d x} (2 cos (x^{2}))

limit as x approaches 2-of (2x+1)/(x-2)

x \to 2 - lim (\frac{2 x + 1}{x - 2})