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Beliebt Rechnen >

(\partial)/(\partial y)(sin(y)-xy+y^2)

Lösung

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

Lösung

cos (y) - x + 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{\partial}{\partial y} (y^{2}) = 2 y

= cos (y) - x + 2 y

Beliebte Beispiele

integral of 1/((x+2)sqrt(x^2+4x+3))

\int \frac{1}{( x + 2 ) x ^{2} + 4 x + 3} d x

integral of 2sin^3(xco)s^2x

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

fläche 3x^2,6x

a re a 3 x^{2}, 6 x

derivative of ln(3x^2-5x+2)

\frac{d}{d x} (ln (3 x^{2} - 5 x + 2))

integral of (x+e^x)^2

\int (x + e^{x})^{2} d x