(\partial)/(\partial x)(ln(x^3))

Lösung

\frac{\partial}{\partial x} (ln (x^{3}))

\frac{3}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (x^{3}))

Wende die Kettenregel an:

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

= \frac{1}{x ^{3}} \frac{\partial}{\partial x} (x^{3})

\frac{\partial}{\partial x} (x^{3}) = 3 x^{2}

= \frac{1}{x ^{3}} \cdot 3 x^{2}

Vereinfache

\frac{1}{x ^{3}} \cdot 3 x^{2} : \frac{3}{x}

= \frac{3}{x}

\int \frac{1}{( 1 - y )} d y

\int (\frac{3}{x}) d x

\frac{\partial}{\partial z} (5 sin^{2} (z))

n = 1 \sum \infty 4 + (- 1)^{n}

\int 5 (tan (x)) (ln (cos (x))) d x