(\partial)/(\partial y)((x+2y)^2)

Lösung

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

4 (x + 2 y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= 2 (x + 2 y) \cdot 2

Vereinfache

= 4 (x + 2 y)

\frac{d}{d x} (\frac{e ^{x} - 2}{( 1 - e ^{- x} ) ^{2}})

\int \frac{( 5 x ^{2} )}{1 - 5 x ^{3}} d x

x \to 0 + lim (sin (\frac{π}{x}))

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

2 x^{2} y^{^{'}} = y^{^{'}} + 6 x e^{(- y)}