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Beliebt Rechnen >

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

Lösung

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

Lösung

x e^{2 x + 3 y} \cdot 3

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= x e^{2 x + 3 y} \cdot 3

Beliebte Beispiele

integral of ((cos(x))/(sin^2(x)))

\int (\frac{cos ( x )}{sin ^{2} ( x )}) d x

\int u d u

(ln^{3} (x))^{^{'}}

integral of (sin(x))^5(cos(x))^3

\int (sin (x))^{5} (cos (x))^{3} d x

(d^2)/(dx^2)(sqrt(1+1/(x^4)))

\frac{d ^{2}}{d x ^{2}} (1 + \frac{1}{x ^{4}})