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Beliebt Rechnen >

x derivative of [ln(y)]=1

Lösung

x \frac{d}{d x} [ln (y)] = 1

Lösung

y = c_{1} x

Schritte zur Lösung

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

Isoliere

(ln (y))^{'} : (ln (y))^{'} = \frac{1}{x}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

ln (y) = \int \frac{1}{x} d x

\int \frac{1}{x} d x = ln (x) + c_{1}

ln (y) = ln (x) + c_{1}

Isoliere

y : y = e^{c_{1}} x

y = e^{c_{1}} x

Vereinfache

y = c_{1} x

Graph

Beliebte Beispiele

fläche y=x,y=4x,y=-x+2

a re a y = x, y = 4 x, y = - x + 2

integral of 6sin(3x)

\int 6 sin (3 x) d x

vereinfachen (x^2-3)/((x-1)^2+(x-1)^2)

s im pl i f y \frac{x ^{2} - 3}{( x - 1 ) ^{2} + ( x - 1 ) ^{2}}

integral from 1 to 4 of 1/(9+(x-1)^2)

\int_{1}^{4} \frac{1}{9 + ( x - 1 ) ^{2}} d x

derivative of 24sqrt(x)-4x

\frac{d}{d x} (24 x - 4 x)