(\partial)/(\partial x)(xy+z^2)

Lösung

\frac{\partial}{\partial x} (x y + z^{2})

y

Schritte zur Lösung

\frac{\partial}{\partial x} (x y + z^{2})

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= y + 0

Vereinfache

= y

\int sin (6 x) cos (9 x) d x

\frac{\partial}{\partial x} (3 y^{6} cos (3 x))

\frac{\partial}{\partial x} (2 e^{x y^{2}})

\int \frac{( 3 x - 1 )}{x x ^{2} - 4} d x

x \to 1 lim (7^{x^{4} - x^{2}})