(\partial)/(\partial x)(xy-ln(z))

Lösung

\frac{\partial}{\partial x} (x y - ln (z))

y

Schritte zur Lösung

\frac{\partial}{\partial x} (x y - ln (z))

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} (ln (z))

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

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

= y - 0

Vereinfache

= y

\int e^{x + y} d y

\frac{\partial}{\partial s} (\frac{s ^{2} + 4}{t - 3})

x \to 0 - lim (\frac{2 x}{∣ x ∣})

t y^{^{''}} - y^{^{'}} = t^{2} + t, y (1) = 1, y^{^{'}} (1) = 5

s l o p e (3, - 7), (10, - 4)