(\partial)/(\partial x)(4x+2y+2)

Lösung

\frac{\partial}{\partial x} (4 x + 2 y + 2)

4

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x + 2 y + 2)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x) + \frac{\partial}{\partial x} (2 y) + \frac{\partial}{\partial x} (2)

\frac{\partial}{\partial x} (4 x) = 4

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

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

= 4 + 0 + 0

Vereinfache

= 4

d er i v a t i v e 12 x^{2}

l a pl a ce t r an s f or m (t - 6.8) sin (6.2 t)

\frac{\partial}{\partial u} (2 u sin (v))

t an g e n t f (x) = x^{2} - 9, (- 4, 7)

\frac{d}{d x} (\frac{x ^{2}}{7 + x})