Question

Derivate compuse calculați f'x
F(x) =(2x-l n x) ^2

Answer 1

F'(x)= 2(2x-l n x)*(2x-l n x)'=2*(2x-l n x)*(2-1/x)

Answer 2

$\text{Cele doua functii compuse sunt }x^2\text{ si }2x-\ln x\\ F'(x)=2(2x-\ln x)\cdot (2x-\ln x)'=2(2x-\ln x)\cdot \left(2-\dfrac{1}{x}\right)=\\ =\boxed{\dfrac{2(2x-\ln x)\cdot (2x-1)}{x}}$