derivative of ln(x^{13})

Lösung

\frac{d}{d x} (ln (x^{13}))

\frac{13}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{13}))

Wende die Kettenregel an:

\frac{1}{x ^{13}} \frac{d}{d x} (x^{13})

= \frac{1}{x ^{13}} \frac{d}{d x} (x^{13})

\frac{d}{d x} (x^{13}) = 13 x^{12}

= \frac{1}{x ^{13}} \cdot 13 x^{12}

Vereinfache

\frac{1}{x ^{13}} \cdot 13 x^{12} : \frac{13}{x}

= \frac{13}{x}

n = 1001 \sum \infty \frac{1}{n}

\int_{0}^{5} x^{3} x^{2} + 25 d x

x y^{^{'}} + (11 + x) y = e^{- x}

\int \frac{x ^{3}}{x ^{2} + 36} d x

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