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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y

Schritte zur Lösung

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

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} (x)

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

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

= 2 y - 0

Vereinfache

= 2 y

Beliebte Beispiele

integral of x^2((x^3)/(12)+4)^3

\int x^{2} (\frac{x ^{3}}{12} + 4)^{3} d x

derivative of csc(3x+2)

\frac{d}{d x} (csc (3 x + 2))

integral of cot(35x)

\int cot (35 x) d x

derivative f(x)= 4/(1-2x^2)

d er i v a t i v e f (x) = \frac{4}{1 - 2 x ^{2}}

dy-(y/x+x/y)dx=0

d y - (\frac{y}{x} + \frac{x}{y}) d x = 0