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Beliebt Rechnen >

derivative of x-ln(8x)

Lösung

\frac{d}{d x} (x - ln (8 x))

Lösung

1 - \frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (x - ln (8 x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d x}{d x} - \frac{d}{d x} (ln (8 x))

\frac{d x}{d x} = 1

\frac{d}{d x} (ln (8 x)) = \frac{1}{x}

= 1 - \frac{1}{x}

Graph

Beliebte Beispiele

derivative (7x+4)^2

d er i v a t i v e (7 x + 4)^{2}

\frac{d y}{d x} = 3 x y

integral of (x+2x^2)/(sqrt(x))

\int \frac{x + 2 x ^{2}}{x} d x

derivative of x^2arctan(7x)

\frac{d}{d x} (x^{2} arctan (7 x))

integral of (6x-1)/(x^3+4x)

\int \frac{6 x - 1}{x ^{3} + 4 x} d x