(\partial)/(\partial y)(x-1/(y^2))

Lösung

\frac{\partial}{\partial y} (x - \frac{1}{y ^{2}})

\frac{2}{y ^{3}}

Schritte zur Lösung

\frac{\partial}{\partial y} (x - \frac{1}{y ^{2}})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x) - \frac{\partial}{\partial y} (\frac{1}{y ^{2}})

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

\frac{\partial}{\partial y} (\frac{1}{y ^{2}}) = - \frac{2}{y ^{3}}

= 0 - (- \frac{2}{y ^{3}})

Vereinfache

= \frac{2}{y ^{3}}

in v erse l a pl a ce \frac{1}{( s ^{2} + s + 1 )}

x \to 5 lim (4 x - 3)

d er i v a t i v e \frac{6}{4 x + 1}

l o n g d i v i s i o n \frac{x ^{2} - 5 x}{x + 1}

l a pl a ce t r an s f or m (t - 2)^{3} (t - 2)