(\partial}{\partial z}(\frac{x^2)/y-xz)

Lösung

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

- x

Schritte zur Lösung

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

Behandle

x, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - x

Vereinfache

= - x

\int \frac{x}{4 + x ^{4}} d x

\frac{\partial}{\partial y} (\frac{7}{x ^{2} + y ^{2}})

t an g e n t \frac{( x ^{2} + 32 x )}{8}, at x = 4

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

\frac{d}{d x} (f (x) \cdot \frac{1}{g ( x )})