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Beliebt Rechnen >

(dy)/(dx)= 1/(xln(2))

Lösung

\frac{d y}{d x} = \frac{1}{x ln ( 2 )}

Lösung

y = \frac{ln ( x )}{ln ( 2 )} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{1}{x ln ( 2 )}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{1}{x ln ( 2 )}

Wenn

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

dann

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

y = \int \frac{1}{x ln ( 2 )} d x

\int \frac{1}{x ln ( 2 )} d x = \frac{1}{ln ( 2 )} ln (x) + c_{1}

y = \frac{1}{ln ( 2 )} ln (x) + c_{1}

Vereinfache

y = \frac{ln ( x )}{ln ( 2 )} + c_{1}

Beliebte Beispiele

derivative 3e^{2x^2}

d er i v a t i v e 3 e^{2 x^{2}}

derivative of (2x+3^3)

\frac{d}{d x} ((2 x + 3)^{3})

(\partial)/(\partial x)(r(θ,x)sin(θ))

\frac{\partial}{\partial x} (r (θ, x) sin (θ))

fläche x=5,y=sqrt(5x)

a re a x = 5, y = 5 x

derivative (sin(5x))/(3x)

d er i v a t i v e \frac{sin ( 5 x )}{3 x}