求下列函数的导数(1)y=(x+1)(x+2)(x+3)(2)y=2x^2+1/x-3/x^3(3)y=e^xcosx+sinx
问题描述:
求下列函数的导数(1)y=(x+1)(x+2)(x+3)(2)y=2x^2+1/x-3/x^3(3)y=e^xcosx+sinx
答
(1)y'=(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)=3x²+12x+11(2)y'=(x²)'+(1/x)'+(-3/x^3)'=4x-1/x²+9/(x^4)(3)y'=(e^x)'cosx+(e^x)(cosx)'+(sinx...