复合函数求导 f（x）= 3X^4 * （x-1)^1/2
问题描述：
复合函数求导 f（x）= 3X^4 * （x-1)^1/2
答
f'(x)=12x^3*(x-1)^1/2+3/2x^4*(x-1)^(-1/2)
答
f'(x)=(12x^3)*(x-1)^(1/2)+(3x^4)*(1/2)*(x-1)^(-1/2)
=(12x^3)*(x-1)^(1/2)+(3/2)*(x^4)*(x-1)^(-1/2)
答
d(f(x)/dx
=d(3x^4 *(x-1)^1/2)/dx
=(x-1)^(1/2)*d(3x^4)/dx + 3x^4*d((x-1)^(1/2))/dx
=12*(x-1)^(1/2)*x^3+3/2*x^4*(x-1)^(-1/2)