Question

这道题怎么求导 跪求详细过程

这道题怎么求导 跪求详细过程例1

Answer 1

f(x)=(x-4)(x+1)^(2/3)
f'(x)=(x+1)^(2/3)+(x-4)(2/3)(x+1)^(-1/3)
=(x+1)^(2/3)+(x-4)(2/3)(x+1)^(-1/3)
=[x+1+(2/3)(x-4)](x+1)^(-1/3)
=5(x-1)/(3(x+1)^(-1/3))