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Beliebt Rechnen >

d/(dy)(-xysin(x)+2ycos(x))

Lösung

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

Lösung

- x sin (x) + 2 cos (x)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= - x sin (x) + 2 cos (x)

Graph

Beliebte Beispiele

y^{''}+y=tan^2(x)

y^{^{''}} + y = tan^{2} (x)

x^2y^{''}-2xy^'+2y=x^2

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = x^{2}

derivative f(x)=(x^2+5x+6)/(x^2-4)

d er i v a t i v e f (x) = \frac{x ^{2} + 5 x + 6}{x ^{2} - 4}

integral of x/(x^4-1)

\int \frac{x}{x ^{4} - 1} d x

derivative of-2e^{-x}cos(x)

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