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Beliebt Rechnen >

derivative of ln(4x-1)

Lösung

\frac{d}{d x} (ln (4 x - 1))

Lösung

\frac{4}{4 x - 1}

Schritte zur Lösung

\frac{d}{d x} (ln (4 x - 1))

Wende die Kettenregel an:

\frac{1}{4 x - 1} \frac{d}{d x} (4 x - 1)

= \frac{1}{4 x - 1} \frac{d}{d x} (4 x - 1)

\frac{d}{d x} (4 x - 1) = 4

= \frac{1}{4 x - 1} \cdot 4

Vereinfache

\frac{1}{4 x - 1} \cdot 4 : \frac{4}{4 x - 1}

= \frac{4}{4 x - 1}

Graph

Beliebte Beispiele

integral from 4 to 5 of 1/(5x-1)

\int_{4}^{5} \frac{1}{5 x - 1} d x

xy^'+3y=(4e^{2x})/(x^2)

x y^{^{'}} + 3 y = \frac{4 e ^{2 x}}{x ^{2}}

limit as x approaches 1 of (2x)/(x-1)

x \to 1 lim (\frac{2 x}{x - 1})

derivative f(x)=9x^5(x^3-2x)

d er i v a t i v e f (x) = 9 x^{5} (x^{3} - 2 x)

y^{''}-2y^'-63y=0

y^{^{''}} - 2 y^{^{'}} - 63 y = 0