Respuesta :
[tex]\\f(x)=\arcsin (x^3+1) \\ f'(x)=\frac{1}{\sqrt{1-(x^3+1)^2}}\cdot3x^2\\ f'(x)=\frac{3x^2}{\sqrt{1-x^6-2x^3-1}}\\ f'(x)=\frac{3x^2}{\sqrt{-x^3(x^3+2)}}\\[/tex]
[tex]\\f(x)=\arcsin (x^3+1) \\ f'(x)=\frac{1}{\sqrt{1-(x^3+1)^2}}\cdot3x^2\\ f'(x)=\frac{3x^2}{\sqrt{1-x^6-2x^3-1}}\\ f'(x)=\frac{3x^2}{\sqrt{-x^3(x^3+2)}}\\[/tex]