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Beliebt Rechnen >

(\partial)/(\partial y)(x^2+y^2-9)

Lösung

\frac{\partial}{\partial y} (x^{2} + y^{2} - 9)

Lösung

2 y

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} + y^{2} - 9)

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} (9)

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

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

\frac{\partial}{\partial y} (9) = 0

= 0 + 2 y - 0

Vereinfache

= 2 y

Beliebte Beispiele

derivative f(x)=6x^2+x-3

d er i v a t i v e f (x) = 6 x^{2} + x - 3

laplacetransform t/2

l a pl a ce t r an s f or m \frac{t}{2}

fläche y=sqrt(x),x=9,y=0

a re a y = x, x = 9, y = 0

3y^{''}+5y^'+2y=0

3 y^{^{''}} + 5 y^{^{'}} + 2 y = 0

integral of (3+2cos(x))^2

\int (3 + 2 cos (x))^{2} d x