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
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)