(\partial)/(\partial x)(x(1-x))

Lösung

\frac{\partial}{\partial x} (x (1 - x))

1 - 2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (x (1 - x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = 1 - x

= \frac{\partial}{\partial x} (x) (1 - x) + \frac{\partial}{\partial x} (1 - x) x

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

\frac{\partial}{\partial x} (1 - x) = - 1

= 1 \cdot (1 - x) + (- 1) x

Vereinfache

1 \cdot (1 - x) + (- 1) x : 1 - 2 x

= 1 - 2 x

x \to π lim (tan (\frac{x}{3}))

\int_{0}^{2} \frac{x}{1 + x ^{2}} d x

x \to 9 lim (\frac{x - 3}{x - 9})

a re a 25 x^{2}, 9

s l o p e in t erce pt (6.2) (9.3)