derivative of ln^2(x-ln(ln(x)))

Lösung

\frac{d}{d x} (ln^{2} (x) - ln (ln (x)))

\frac{2 ln ( x )}{x} - \frac{1}{x ln ( x )}

Schritte zur Lösung

\frac{d}{d x} (ln^{2} (x) - ln (ln (x)))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (ln^{2} (x)) - \frac{d}{d x} (ln (ln (x)))

\frac{d}{d x} (ln^{2} (x)) = \frac{2 ln ( x )}{x}

\frac{d}{d x} (ln (ln (x))) = \frac{1}{x ln ( x )}

= \frac{2 ln ( x )}{x} - \frac{1}{x ln ( x )}

im pl i c i t \frac{d y}{d x}, e^{\frac{x}{y}} = 4 x - y

\int_{0}^{4} (2 - x)^{2} d x

n = 0 \sum \infty \frac{1}{n + 14}

\int t + 2 + \frac{3}{t ^{2} + 1} d t

\frac{d}{d x} (\frac{- 8 x ^{7} + 7 x ^{3} - 2}{- 4 x ^{3}})