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Beliebt Rechnen >

d/(dy)(xsin(y)+ycos(x))

Lösung

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

Lösung

x cos (y) + cos (x)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= x cos (y) + cos (x)

Beliebte Beispiele

integral from 0 to 1 of x^3

\int_{0}^{1} x^{3} d x

derivative of 3/(x(x^2-4))

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

steigung xy-2y^2=3

s l o p e x y - 2 y^{2} = 3

(\partial)/(\partial x)(6y^{x/z})

\frac{\partial}{\partial x} (6 y^{\frac{x}{z}})

sec(x)dy=xcot(y)dx

sec (x) d y = x cot (y) d x