(\partial)/(\partial y)(xe^{6y})

Lösung

\frac{\partial}{\partial y} (x e^{6 y})

x e^{6 y} \cdot 6

Schritte zur Lösung

\frac{\partial}{\partial y} (x e^{6 y})

Behandle

x

als Konstante

Entferne die Konstante:

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

= x \frac{\partial}{\partial y} (e^{6 y})

Wende die Kettenregel an:

e^{6 y} \frac{\partial}{\partial y} (6 y)

= e^{6 y} \frac{\partial}{\partial y} (6 y)

\frac{\partial}{\partial y} (6 y) = 6

= x e^{6 y} \cdot 6

\frac{d}{d x} (\frac{2 ^{3 x}}{ln ( 3 )})

\int sin (5 x - 3) d x

d er i v a t i v e f (x) = (x^{2}) sin (x - 2)

\int (1 - x^{3})^{2} x^{2} d x

\int_{- 1}^{1} (y^{2} - 2) - e^{y} d y