(\partial)/(\partial y)((2x+3)(y-2))

Lösung

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

2 x + 3

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

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

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (y) = 1

\frac{\partial}{\partial y} (2) = 0

= (2 x + 3) (1 - 0)

Vereinfache

= 2 x + 3

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

d er i v a t i v e \frac{3}{4} x^{8}

y \to 0 lim (\frac{( 2 x )}{k y})

d er i v a t i v e f (x) = \frac{x}{x + 2}

x \to \infty lim (x - 2 x)