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Beliebt Rechnen >

(\partial)/(\partial y)(y^2-cos(x)y)

Lösung

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

Lösung

2 y - cos (x)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y - cos (x)

Beliebte Beispiele

derivative of (x^3/3+3/(x^3))

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

derivative of |x|+|x-1|

\frac{d}{d x} (∣ x ∣ + ∣ x - 1 ∣)

derivative of xtan(2sqrt(x))

\frac{d}{d x} (x tan (2 x))

(\partial)/(\partial x)(sin(x^3))

\frac{\partial}{\partial x} (sin (x^{3}))

limit as x approaches 3+of (2x+1)/(x-3)

x \to 3 + lim (\frac{2 x + 1}{x - 3})