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Beliebt Rechnen >

(\partial)/(\partial y)(x^2+xy-25)

Lösung

\frac{\partial}{\partial y} (x^{2} + x y - 25)

Lösung

x

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} + x y - 25)

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} (x y) - \frac{\partial}{\partial y} (25)

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

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

\frac{\partial}{\partial y} (25) = 0

= 0 + x - 0

Vereinfache

= x

Beliebte Beispiele

integral of 2y-1

\int 2 y - 1 d y

y^'+y=2te^{-t}+t^2

y^{^{'}} + y = 2 t e^{- t} + t^{2}

derivative of (2x^4-3x^3)

\frac{d}{d x} ((2 x^{4} - 3 x)^{3})

integral of 3/8

\int \frac{3}{8} d x

integral of (2x)/((x^2-1))

\int \frac{2 x}{( x ^{2} - 1 )} d x