(\partial)/(\partial x)((b)(3x+b))

Lösung

\frac{\partial}{\partial x} ((b) (3 x + b))

3 b

Schritte zur Lösung

\frac{\partial}{\partial x} ((b) (3 x + b))

Behandle

b

als Konstante

Entferne die Konstante:

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

= b \frac{\partial}{\partial x} (3 x + b)

Wende die Summen-/Differenzregel an:

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

= b (\frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (b))

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

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

= b (3 + 0)

Vereinfache

= 3 b

e x p an d (- 1, i) (6 - 4 i)

e x p an d 0.5 (5 w i + 1) + (5 w i + 1) (39 w i + 1) + 38.38 k

e x p an d (0.1 e^{0.1 x}) (x + 0.9)

e x p an d (8, - 8) y (9, 8)

e x p an d (9 x + 16 y = 7,) (4 y - 3 x = 0)