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Beliebt Rechnen >

(\partial)/(\partial y)(x^2+y^2-1)

Lösung

\frac{\partial}{\partial y} (x^{2} + y^{2} - 1)

Lösung

2 y

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} + y^{2} - 1)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{2}) + \frac{\partial}{\partial y} (y^{2}) - \frac{\partial}{\partial y} (1)

\frac{\partial}{\partial y} (x^{2}) = 0

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

\frac{\partial}{\partial y} (1) = 0

= 0 + 2 y - 0

Vereinfache

= 2 y

Beliebte Beispiele

derivative of-(14/(x^6))

\frac{d}{d x} (- \frac{14}{x ^{6}})

erweitern 4(2t-5)^2

e x p an d 4 (2 t - 5)^{2}

integral of x^2*sqrt(x^2-9)

\int x^{2} \cdot x^{2} - 9 d x

(dP)/(dt)=0.5(P)(1-P/(1000))

\frac{d P}{d t} = 0.5 (P) (1 - \frac{P}{1000})

(dy)/(dx)=(3sec(y))/((x+1)^2)

\frac{d y}{d x} = \frac{3 sec ( y )}{( x + 1 ) ^{2}}