求微分:①y=(x-1)(2-3x)(2x+3)②y=x平方+3cos2x③y=√x+x④y=xlgx⑤y=√(x平方+1)(x平方-2)步骤要详细哦
问题描述:
求微分:①y=(x-1)(2-3x)(2x+3)②y=x平方+3cos2x③y=√x+x④y=xlgx⑤y=√(x平方+1)(x平方-2)步骤要详细哦
答
1.dy=[(2-3x)(2x+3)-3(x-1)(2x+3)+2(x-1)(2-3x)]dx2.dy=(2x-6sin2x)dx3.dy=[1/2x^(-1/2)+1]dx4.dy=[lgx+x/(xln10)]dx =[lgx+1/ln10]dx5.dy=1/2[(x平方+1)(x平方-2)]^(-1/2)[2x(x平方-2)+2x(x平方+1)]=1/2[(x平方+1)(...