y=(x+1)(x+2)(x+3)的导数?

问题描述:

y=(x+1)(x+2)(x+3)的导数?

y=(x+1)(x+2)(x+3)
=(x+1)'(x+2)(x+3)+(x+1)(x+2)'(x+3)+(x+1)(x+2)(x+3)'
=(x+2)(x+3)+(x+1)(x+3)+(x+1)(x+2)
=x²+5x+6+x²+4x+3+x²+3x+2
=3x²+12x+11