Logaritme 2

[JonasBA]

Kvotientregelen

[tex]y = \frac{u}{v} \\ y^, = \frac{u^,v - uv^,}{v^2}[/tex]

1.

[tex]y = \frac{Lnx}{3x} \\ y^, = \frac{(Lnx)^,\cdot 3x - Lnx \cdot (3x)^,}{9x^2} \\ y^, =\frac{\frac{1}{x} \cdot 3x - Lnx \cdot 3}{9x^2} \\ y^, = \frac{3 \cdot (1 - Lnx)}{3 \cdot (3x^2)} \\ y^, = \frac{1 - Lnx}{3x^2}[/tex]

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