Question

Cat este (ln(2x)/x) totul derivat?
cu explicatie pas cu pas va rog​

Answer 1

$\it \Big(\dfrac{ln2x}{x}\Big)'=\dfrac{(ln2x)'\cdot x-x'\cdot ln2x}{x^2}=\dfrac{\dfrac{2}{2x}\cdot x-1\cdot ln2x}{x^2}=\dfrac{1-ln2x}{x^2}$

Answer 2

$\Big(\dfrac{\ln(2x)}{x}\Big)' = \dfrac{[\ln(2x)]'\cdot x - \ln(2x)\cdot x'}{x^2} = \dfrac{\dfrac{(2x)'}{2x}\cdot x-\ln(2x)}{x^2} = \\ \\ = \dfrac{\dfrac{2}{2}-\ln(2x)}{x^2} = \dfrac{1-\ln(2x)}{x^2}$