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Beliebt Rechnen >

derivative of ln(100x)

Lösung

\frac{d}{d x} (ln (100 x))

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (100 x))

Wende die Kettenregel an:

\frac{1}{100 x} \frac{d}{d x} (100 x)

= \frac{1}{100 x} \frac{d}{d x} (100 x)

\frac{d}{d x} (100 x) = 100

= \frac{1}{100 x} \cdot 100

Vereinfache

\frac{1}{100 x} \cdot 100 : \frac{1}{x}

= \frac{1}{x}

Graph

Beliebte Beispiele

integral of x/(sqrt(4-25x^2))

\int \frac{x}{4 - 25 x ^{2}} d x

integral of (e^t)

\int (e^{t}) d t

integral of 2x(x^2+14)^3

\int 2 x (x^{2} + 14)^{3} d x

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

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

derivative of sin(xln(7x))

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