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

Lösung

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

\frac{2}{x}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{2}{x}

\int \frac{x ^{2} + 1}{x} d x

d er i v a t i v e y = lo g_{x} (e)

n = 0 \sum \infty \frac{1}{n + 12}

\frac{\partial}{\partial x} (4 x^{2} y - 2 x + 2 y^{3})

t an g e n t y = sin (sin (x)), (2 π, 0)