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Beliebt Rechnen >

(dy)/(dx)= 3/(1+x)

Lösung

\frac{d y}{d x} = \frac{3}{1 + x}

Lösung

y = 3 ln (1 + x) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{3}{1 + x}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{3}{1 + x}

Wenn

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

dann

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

y = \int \frac{3}{1 + x} d x

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

y = 3 ln (1 + x) + c_{1}

Graph

Beliebte Beispiele

f (x) = 3 cos (2 x)

(\partial)/(\partial x)(sin(x)-cos(y))

\frac{\partial}{\partial x} (sin (x) - cos (y))

derivative of arctanh(sqrt(x))

\frac{d}{d x} (arctanh (x))

taylor 1/(sqrt(3-2x)),1

t a y l or \frac{1}{3 - 2 x}, 1

derivative f(x)=x^2-3x

d er i v a t i v e f (x) = x^{2} - 3 x