f(x)=(2x+1)/(x^2+2)的求导

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/08 01:32:43
f(x)=(2x+1)/(x^2+2)的求导f(x)=(2x+1)/(x^2+2)的求导f(x)=(2x+1)/(x^2+2)的求导f(x)=(2x+1)/(x^2+2)f''(x)=[(2x+1)''(

f(x)=(2x+1)/(x^2+2)的求导
f(x)=(2x+1)/(x^2+2)的求导

f(x)=(2x+1)/(x^2+2)的求导
f(x)=(2x+1)/(x^2+2)
f'(x)=[(2x+1)'(x^2+2)-(2x+1)(x^2+2)']/(x^2+2)^2 根据(u/v)'=(u'v-uv')/v^2
=[2(x^2+2)-(2x+1)*2x]/(x^2+2)^2
=(2x^2+4-4x^2-2x)/(x^2+2)^2
=-2(x^2+x+2)/(x^2+2)^2

=[2*(x^2+2)-(2x+1)*2*x]/[(x^2+2)]^2
=(4-2x-2x^2)/(x^4+4x^2+4)

笑年顶呱呱!