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Beliebt Rechnen >

derivative of ln(4log_{4}(x)+pi^3)

Lösung

\frac{d}{d x} (ln (4) lo g_{4} (x) + π^{3})

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (4) lo g_{4} (x) + π^{3})

Vereinfache

ln (4) lo g_{4} (x) + π^{3} : ln (x) + π^{3}

= \frac{d}{d x} (ln (x) + π^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (ln (x)) + \frac{d}{d x} (π^{3})

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

\frac{d}{d x} (π^{3}) = 0

= \frac{1}{x} + 0

Vereinfache

= \frac{1}{x}

Graph

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x \to 2 lim (3.9 + 9.6)

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n = 0 \sum \infty \frac{10}{2 ^{n}}

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\frac{d}{d x} (\frac{x}{6 x + 5})

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