Y=(3X+2)(X^2+X-4),求导数
问题描述:
Y=(3X+2)(X^2+X-4),求导数
答
Y=(3X+2)(X^2+X-4)
y'=(3x+2)'*(x^2+x-4)+(3x+2)*(x^2+x-4)'
=3(x^2+x-4)+(3x+2)*(2x+1)
=3x^2+3x-12+6x^2+3x+4x+2
=9x^2+10x-10
或者说:
y=3x^3+3x^2-12x+2x^2+2x-8=3x^3+5x^2-10x-8
y'=3*3x^2+5*2x-10=9x^2+10x-10
答
Y=3X^3+5X^2-10X-8
Y'=3*3X^2-5*2X-10
=9X^2-10X-10