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

Lösung

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

- \frac{1}{x}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - \frac{1}{x}

d er i v a t i v e (x - 4)^{3} + 3 x (x - 4)^{2}

x \to - \infty lim (x^{6})

\frac{\partial}{\partial x} (- 4 cos (3 x))

\int \frac{12 s + 12}{( s ^{2} + 1 ) ( s - 1 ) ^{3}} d s

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