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Beliebt Rechnen >

(\partial)/(\partial x)(xy-xsin(y))

Lösung

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

Lösung

y - sin (y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= y - sin (y)

Beliebte Beispiele

(((t^2+1)^{3/2})/3)^'

\frac{( t ^{2} + 1 ) ^{\frac{3}{2}}}{3}^{^{'}}

derivative of (x+2(x-2)^3)

\frac{d}{d x} ((x + 2) (x - 2)^{3})

derivative-7(6x^2+7)^{-6}

d er i v a t i v e - 7 (6 x^{2} + 7)^{- 6}

derivative (c^4-x^4)/(c^4+x^4)

d er i v a t i v e \frac{c ^{4} - x ^{4}}{c ^{4} + x ^{4}}

integral of sin(x^3)x^2

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