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Beliebt Rechnen >

(\partial)/(\partial y)(x^2+3xy)

Lösung

\frac{\partial}{\partial y} (x^{2} + 3 x y)

Lösung

3 x

Schritte zur Lösung

\frac{\partial}{\partial y} (x^{2} + 3 x y)

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} (3 x y)

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

\frac{\partial}{\partial y} (3 x y) = 3 x

= 0 + 3 x

Vereinfache

= 3 x

Beliebte Beispiele

x y^{^{''}} + 5 y^{^{'}} = x

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

\int \frac{1 + x ^{2}}{1 - x ^{2}} d x

integral of 2t-3

\int 2 t - 3 d t

integral of (ln(x)+1)

\int (ln (x) + 1) d x

integral of 1/((5x-2)^{5/2)}

\int \frac{1}{( 5 x - 2 ) ^{\frac{5}{2}}} d x