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Beliebt Rechnen >

derivative of 2log_{3}(x)

Lösung

\frac{d}{d x} (2 lo g_{3} (x))

Lösung

\frac{2}{ln ( 3 ) x}

Schritte zur Lösung

\frac{d}{d x} (2 lo g_{3} (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (lo g_{3} (x))

Wende die Derivat-Log-Regel an:

\frac{d}{d x} (lo g_{a} (x)) = \frac{1}{x ln ( a )}

= 2 \cdot \frac{1}{x ln ( 3 )}

Vereinfache

2 \cdot \frac{1}{x ln ( 3 )} : \frac{2}{ln ( 3 ) x}

= \frac{2}{ln ( 3 ) x}

Graph

Beliebte Beispiele

integral from 0 to 2 of xsqrt(8-2x^2)

\int_{0}^{2} x 8 - 2 x^{2} d x

integral of 2/(35sin(x)-12cos(x))

\int \frac{2}{35 sin ( x ) - 12 cos ( x )} d x

integral of xarctan(x^2)

\int x arctan (x^{2}) d x

derivative (2t^2+1)/t

d er i v a t i v e \frac{2 t ^{2} + 1}{t}

derivative of xe^{-sqrt(x)}

\frac{d}{d x} (x e^{- x})