derivative of ln(x-7)

Lösung

\frac{d}{d x} (ln (x - 7))

\frac{1}{x - 7}

Schritte zur Lösung

\frac{d}{d x} (ln (x - 7))

Wende die Kettenregel an:

\frac{1}{x - 7} \frac{d}{d x} (x - 7)

= \frac{1}{x - 7} \frac{d}{d x} (x - 7)

\frac{d}{d x} (x - 7) = 1

= \frac{1}{x - 7} \cdot 1

Vereinfache

= \frac{1}{x - 7}

d er i v a t i v e \frac{10 x + x ^{2}}{( 5 + x ) ^{2}}

\int e^{x} 2 + e^{x} d x

\int \frac{x ^{3}}{( 4 x ^{2} + 9 ) ^{\frac{3}{2}}} d x

d er i v a t i v e \frac{1}{7 - 10 e ^{x}}

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