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Beliebt Rechnen >

derivative of ln(x+b)

Lösung

\frac{d}{d x} (ln (x + b))

Lösung

\frac{1}{x + b}

Schritte zur Lösung

\frac{d}{d x} (ln (x + b))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

= \frac{1}{x + b}

Graph

Beliebte Beispiele

derivative of x^2+x-1

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

integral of (3-1/(x^4))

\int (3 - \frac{1}{x ^{4}}) d x

derivative of cos(2xdx)

\frac{d}{d x} (cos (2 x) d x)

derivative of (x^2-2^2)

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

derivative (11-x)/7+(sqrt(36+x^2))/3

d er i v a t i v e \frac{11 - x}{7} + \frac{36 + x ^{2}}{3}