Qual é a derivada de # cosx ^ 3 #?

Qual é a derivada de # cosx ^ 3 #? Responda: #-3x^2sinx^3# Explicação: Differentiate using the #color(blue)”chain rule”# #color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(f(g(x)))=f'(g(x)).g'(x))color(white)(a/a)|))….(A)# #f(g(x))=cos(x^3)rArrf'(g(x))=-sin(x^3)# and #g(x)=x^3rArrg'(x)=3x^2# #”—————————————————-“# Substitute these values in #color(red)”(A)”# #rArrd/dx(cosx^3)=-sinx^3 .3x^2=-3x^2sinx^3#