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Beliebt Rechnen >

derivative y=ln(x+3)

Lösung

ableitung von

y = ln (x + 3)

Lösung

\frac{1}{x + 3}

Schritte zur Lösung

\frac{d}{d x} (ln (x + 3))

Wende die Kettenregel an:

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

= \frac{1}{x + 3} \frac{d}{d x} (x + 3)

\frac{d}{d x} (x + 3) = 1

= \frac{1}{x + 3} \cdot 1

Vereinfache

= \frac{1}{x + 3}

Graph

Beliebte Beispiele

integral from 2 to 6 of x^2+1

\int_{2}^{6} x^{2} + 1 d x

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

d er i v a t i v e - \frac{1}{x} - \frac{1}{x ^{2}} + \frac{1}{x ^{3}}

inverselaplace (s+1)/(s(s+2)(s+4))

in v erse l a pl a ce \frac{s + 1}{s ( s + 2 ) ( s + 4 )}

inverselaplace 1/(s^2(s-3)^2)

in v erse l a pl a ce \frac{1}{s ^{2} ( s - 3 ) ^{2}}

integral of 1/(t-2)

\int \frac{1}{t - 2} d t