f(x)=(2x+1)/(x^2+2)的求導

f(x)=(2x+1)/(x^2+2)的求導


f(x)=(2x+1)/(x^2+2)f'(x)=[(2x+1)'(x^2+2)-(2x+1)(x^2+2)']/(x^2+2)^2根據(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



f(x)=x^2-aln(2x+1)求導.
RT


f‘=2x-2a/(2x+1)



(1-x)^n+(1+2x)^n=f(x)怎麼求導?


f(x)=(1-x)^n+(1+2x)^n
f'(x)=n(1-x)^(n-1)*(1-x)'+n(1+2x)^(n-1)*(1+2x)'
=-n(1-x)^(n-1)+2n(1+2x)^(n-1)
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