[tex]f'(x)=\ln \left(1+sin^2(arcsin(x))\right)\times \left(arcsin(x)\right)'=\ln(1+x^2)\times\cfrac{1}{\sqrt{1-x^2}}[/tex]
Deci raspunsul corect este d).
Poti gasi mai multe explicatii la pagina:
https://www.expii.com/t/differentiating-an-integral-function-using-chain-rule-9183
