(\partial}{\partial y}(ln(\frac{x^2)/y))

Lösung

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

- \frac{1}{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - \frac{1}{y}

\frac{d}{d x} (\frac{4}{9} x^{3})

ma c l a u r in x sin (x^{2})

\int x - 2 x d x

\int (8 x + 13) e^{x} d x

t an g e n t y = x^{2} + x, at x = 1