(\partial)/(\partial x)(9x+y+7xy)

Lösung

\frac{\partial}{\partial x} (9 x + y + 7 x y)

7 y + 9

Schritte zur Lösung

\frac{\partial}{\partial x} (9 x + y + 7 x y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (9 x) + \frac{\partial}{\partial x} (y) + \frac{\partial}{\partial x} (7 x y)

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

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

\frac{\partial}{\partial x} (7 x y) = 7 y

= 9 + 0 + 7 y

Vereinfache

= 7 y + 9

f^{^{'}} (x) = 1 - 2 x

x \to \infty lim (x^{2} + 5 x)

d er i v a t i v e (e^{\frac{t}{2}} - e)^{- \frac{1}{3}}

\frac{\partial}{\partial x} (\frac{e ^{y}}{x + y ^{4}})

d er i v a t i v e y = - 6 x^{5} + 2