(\partial)/(\partial x)(8x^2y-3)

Lösung

\frac{\partial}{\partial x} (8 x^{2} y - 3)

16 x y

Schritte zur Lösung

\frac{\partial}{\partial x} (8 x^{2} y - 3)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (8 x^{2} y) - \frac{\partial}{\partial x} (3)

\frac{\partial}{\partial x} (8 x^{2} y) = 16 y x

\frac{\partial}{\partial x} (3) = 0

= 16 y x - 0

Vereinfache

= 16 x y

x \to - 2 lim (- x^{2} - 4 x)

x \to 0 - lim (x^{2} + \frac{1}{x})

ma c l a u r in \frac{2}{1 - x ^{2}}

\int \frac{1}{4 e ^{- 6 x} + e ^{6 x}} d x

x \to 2 lim (5 x + 3)