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Beliebt Rechnen >

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

Lösung

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

Lösung

x^{2} - 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= x^{2} - 2 y

Beliebte Beispiele

(\partial)/(\partial x)((2s-3t)/(3s+5t))

\frac{\partial}{\partial x} (\frac{2 s - 3 t}{3 s + 5 t})

integral of 1/((x^2+9)^3)

\int \frac{1}{( x ^{2} + 9 ) ^{3}} d x

derivative (x^4+5x^2-5)^4

d er i v a t i v e (x^{4} + 5 x^{2} - 5)^{4}

(\partial)/(\partial x)(2+xln(xy-9))

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

laplacetransform u^1

l a pl a ce t r an s f or m u^{1}