f(x)=(2x+1)/(x^2+2)的求导

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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)

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