(\partial)/(\partial x)(ln(x^2z^2))

Lösung

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

\frac{2}{x}

Schritte zur Lösung

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

Behandle

z

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{x ^{2} z ^{2}} \cdot 2 z^{2} x

Vereinfache

\frac{1}{x ^{2} z ^{2}} \cdot 2 z^{2} x : \frac{2}{x}

= \frac{2}{x}

\int \frac{1 + x}{1 - x} d x

\int (e^{x} - 1)^{2} d x

d er i v a t i v e f (x) = a^{2 x}

d er i v a t i v e \frac{6}{x ^{5}} - \frac{2}{x}

\frac{\partial}{\partial x} (3 (x + 1)^{2})