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Beliebt Rechnen >

derivative of ln(x-4y)

Lösung

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

Lösung

\frac{1 - 4 \frac{d y}{d x}}{x - 4 y}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Beliebte Beispiele

derivative 1/6 x^2-3x+15

d er i v a t i v e \frac{1}{6} x^{2} - 3 x + 15

integral of cos(y)cos(4y)

\int cos (y) cos (4 y) d y

fläche 2x-x^2,-3

a re a 2 x - x^{2}, - 3

derivative of 3tan(sqrt(x))

\frac{d}{d x} (3 tan (x))

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

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