How to differentiate y=x/square root x?

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Answer 1 · 2018-06-18T08:39:34

#dy/dx =1/(2sqrtx)#

#y = x/sqrtx#

#= x xx x^(-1/2) = x^(1/2)#

#dy/dx = 1/2 x^(1/2-1)#

#= 1/2 x^(-1/2)#

#= 1/(2sqrtx)#