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Beliebt Rechnen >

derivative of ln(6x+1)

Lösung

\frac{d}{d x} (ln (6 x + 1))

Lösung

\frac{6}{6 x + 1}

Schritte zur Lösung

\frac{d}{d x} (ln (6 x + 1))

Wende die Kettenregel an:

\frac{1}{6 x + 1} \frac{d}{d x} (6 x + 1)

= \frac{1}{6 x + 1} \frac{d}{d x} (6 x + 1)

\frac{d}{d x} (6 x + 1) = 6

= \frac{1}{6 x + 1} \cdot 6

Vereinfache

\frac{1}{6 x + 1} \cdot 6 : \frac{6}{6 x + 1}

= \frac{6}{6 x + 1}

Graph

Beliebte Beispiele

f(x)=x^2sqrt(2x+4)

f (x) = x^{2} 2 x + 4

integral of \sqrt[3]{tan(2x)}sec^2(2x)

\int 3 tan (2 x) sec^{2} (2 x) d x

x^2(dy)/(dx)+xy=3

x^{2} \frac{d y}{d x} + x y = 3

derivative of 1/((3+x^2))

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

integral of e^{6x+7}

\int e^{6 x + 7} d x