`f(x) = (1 - x e^x)/(x + e^x)` Differentiate.

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balajia | College Teacher | (Level 1) eNoter

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`f'(x)=(-(x+e^x)(e^x+xe^x)-(1-xe^x)(1+e^x))/(x+e^x)^2`

`f'(x)=((xe^x-1)(1+e^x)-(x+e^x)(1+x)e^x)/(x+e^x)^2`

`f'(x)=-(x^2e^x+e^(2x)+e^x+1)/(x+e^x)^2`

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