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

Lösung

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

2 x - e^{2 y} \cdot 2

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (e^{2 y}) = e^{2 y} \cdot 2

= 2 x - e^{2 y} \cdot 2

\frac{\partial}{\partial x} ((e^{x} + e^{y})^{9})

y^{^{''}} + 25 y = 25 sec^{2} (5 x)

\frac{\partial}{\partial x} (x^{\frac{1}{2}} + y^{\frac{1}{3}})

\int_{81}^{v} \frac{1}{v} d v

\int (25 - x^{2}) d x