(\partial)/(\partial x)(x+9y+8z)

Lösung

\frac{\partial}{\partial x} (x + 9 y + 8 z)

1

Schritte zur Lösung

\frac{\partial}{\partial x} (x + 9 y + 8 z)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x) + \frac{\partial}{\partial x} (9 y) + \frac{\partial}{\partial x} (8 z)

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

\frac{\partial}{\partial x} (9 y) = 0

\frac{\partial}{\partial x} (8 z) = 0

= 1 + 0 + 0

Vereinfache

= 1

\frac{d}{d x} (\frac{7}{3 x ^{7} - 12 x ^{6} + 2 x ^{2} - 9})

t an g e n t y = \frac{1}{x + 2}, at x = 7

x \to 8 lim (9 x + ∣ x - 8 ∣)

t an g e n t f (x) = x^{2} - \frac{1}{x}, (1, 0)

\frac{d}{d x} (\frac{1}{9 - x ^{2} - y ^{2} - z ^{2}})