What is the Derivative of root x + 1/root x?

See explanation.
If you mean: ##sqrt(x)+1/sqrt(x)##
Derivative is given by:
##1/(2sqrt(x)) – 1/(2sqrt(x^3))= (x-1) / (2x^(3/2))##
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If you mean: ##sqrt(x+1)/sqrt(x)##
Derivative is given by:
##( sqrt(x) / (2sqrt(x+1)) – (sqrt(x+1)) / (2sqrt(2)) ) / x##
##implies sqrt(x) / (2xsqrt(x+1)) – (sqrt(x+1)) / (2xsqrt(2)) =- 1/ ( 2x^(3/2)sqrt(x+1) ) ##
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