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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (x) = 0

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

= 0 - 2 y

Vereinfache

= - 2 y

Beliebte Beispiele

fläche y=-x^2+4,y=3x

a re a y = - x^{2} + 4, y = 3 x

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

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

(dy)/(dx)=sqrt(6y)e^{x+9}

\frac{d y}{d x} = 6 y e^{x + 9}

limit as x approaches 0 of (1-1/x)^x

x \to 0 lim ((1 - \frac{1}{x})^{x})

limit as x approaches 1 of 0/(x-1)

x \to 1 lim (\frac{0}{x - 1})