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Beliebt Rechnen >

(\partial)/(\partial y)(x^2+e^{xy})

Lösung

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

Lösung

e^{x y} x

Schritte zur Lösung

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

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

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

= 0 + e^{x y} x

Vereinfache

= e^{x y} x

Beliebte Beispiele

derivative y=csc^1(e^{8t})

d er i v a t i v e y = csc^{1} (e^{8 t})

integral of (x^3-7x)

\int (x^{3} - 7 x) d x

(\partial)/(\partial x)(ln(x^2u))

\frac{\partial}{\partial x} (ln (x^{2} u))

derivative f(x)=(2x+3)^6(x-2)^4

d er i v a t i v e f (x) = (2 x + 3)^{6} (x - 2)^{4}

integral of x+pi

\int x + π d x