Производная (х^2-3)^100

[latex]y'(x)=200x*( x^{2}-3)^{99} [/latex]

[latex]f'(x)=((x^2-3)^{100})'=100*(x^2-3)^{99}*(x^2-3)'= \\ =100*(x^2-3)^{99}*2x=200x*(x^2-3)^{99}[/latex]