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Beliebt Rechnen >

d/(dy)(-x^2y^2sin(x)+2xy^2cos(x))

Lösung

\frac{d}{d y} (- x^{2} y^{2} sin (x) + 2 x y^{2} cos (x))

Lösung

- 2 x^{2} y sin (x) + 4 x y cos (x)

Schritte zur Lösung

\frac{d}{d y} (- x^{2} y^{2} sin (x) + 2 x y^{2} cos (x))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d y} (x^{2} y^{2} sin (x)) + \frac{d}{d y} (2 x y^{2} cos (x))

\frac{d}{d y} (x^{2} y^{2} sin (x)) = 2 x^{2} y sin (x)

\frac{d}{d y} (2 x y^{2} cos (x)) = 4 x y cos (x)

= - 2 x^{2} y sin (x) + 4 x y cos (x)

Beliebte Beispiele

integral of sqrt(x/(1-x))

\int \frac{x}{1 - x} d x

y^{^{'}} = 3 - y

(dy)/(dx)+3x^2y=sin(x)e^{-x^3}

\frac{d y}{d x} + 3 x^{2} y = sin (x) e^{- x^{3}}

implicit cos(xy)=1+sin(y)

im pl i c i t cos (x y) = 1 + sin (y)

derivative of 4e^{3x^2}

\frac{d}{d x} (4 e^{3 x^{2}})