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Beliebt Rechnen >

derivative 1-ln(3x)

Lösung

ableitung von

1 - ln (3 x)

Lösung

- \frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (1 - ln (3 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (ln (3 x))

\frac{d}{d x} (1) = 0

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

= 0 - \frac{1}{x}

Vereinfache

= - \frac{1}{x}

Graph

Beliebte Beispiele

tangent f(x)=3x^2,\at x=1

t an g e n t f (x) = 3 x^{2}, at x = 1

derivative of x(4x+1^{1/3})

\frac{d}{d x} (x (4 x + 1)^{\frac{1}{3}})

integral of t/(t-2)

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

integral of 1/(x-c)

\int \frac{1}{x - c} d x

integral of (x^4-2x^2+1)/(x^3)

\int \frac{x ^{4} - 2 x ^{2} + 1}{x ^{3}} d x