y=(x^2)(ax+b)的导数

问题描述:

y=(x^2)(ax+b)的导数

3ax^2+2bx

y'=2x(ax+b)+ax^2=3ax^2+2bx

y′=(x^2)′(ax+b)+(x^2)(ax+b)′
=2x(ax+b)+ax^2
=3ax^2+2bx

=(X^2)'*(AX+B)+(X^2)*(AX+B)'=2X*(AX+B)+X^2*A=3AX^2+2BX