几道求导数的题.1:(1/x)’ 2.(√2*x+1)’ 3.(t^2+1/t)’ 4.d(e^u*u) 5.(√x /(x^2+1))’

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几道求导数的题.1:(1/x)’ 2.(√2*x+1)’ 3.(t^2+1/t)’ 4.d(e^u*u) 5.(√x /(x^2+1))’

几道求导数的题.1:(1/x)’ 2.(√2*x+1)’ 3.(t^2+1/t)’ 4.d(e^u*u) 5.(√x /(x^2+1))’
几道求导数的题.1:(1/x)’ 2.(√2*x+1)’ 3.(t^2+1/t)’ 4.d(e^u*u) 5.(√x /(x^2+1))’

几道求导数的题.1:(1/x)’ 2.(√2*x+1)’ 3.(t^2+1/t)’ 4.d(e^u*u) 5.(√x /(x^2+1))’
1:(1/x)’ =-1/x^2
2.(√2*x+1)’ =√2
3.(t^2+1/t)’ =2t-1/t^2
4.d(e^u*u) =ue^u+e^u=(u+1)e^u
5.(√x /(x^2+1))’
=[1/2√x *(x^2+1)-2x√x ]/(x^2+1)^2
=[x^2+1-4x^2]/[2√x (x^2+1)^2]
=[1-3x^2]/[2√x (x^2+1)^2]

做一做~
1.-x^-2
2.根号2
3.2t-t^-2
4.(u+1)e^u*du
5.(x^2+1)^-2-2x(x^2+1)^-3

1: -1/(x^-2)
2:√2/2*(x)^-(1/2)
3. 2*t-1/(t^-2)
4.u*e^u+e^u
5:[1/2*x^(-1/2)*(x^2+1)-2x√x]/(x^2+1)^2