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Beliebt Rechnen >

(\partial)/(\partial y)(xe^{3y})

Lösung

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

Lösung

x e^{3 y} \cdot 3

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die Kettenregel an:

e^{3 y} \frac{\partial}{\partial y} (3 y)

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

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

= x e^{3 y} \cdot 3

Beliebte Beispiele

(\partial)/(\partial x)((4x-3y)/(4x+3y))

\frac{\partial}{\partial x} (\frac{4 x - 3 y}{4 x + 3 y})

derivative f(x)=-16t^2-8t+64

d er i v a t i v e f (x) = - 16 t^{2} - 8 t + 64

tangent (x^2-3)(x^3-2x)

t an g e n t (x^{2} - 3) (x^{3} - 2 x)

integral from 0 to pi/4 of (cos(2x))

\int_{0}^{\frac{π}{4}} (cos (2 x)) d x

y^{''}+2y^'+5y=-2t+4t^2

y^{^{''}} + 2 y^{^{'}} + 5 y = - 2 t + 4 t^{2}