Question #fac85
1 Answer
Apr 28, 2016
#dy/dx=(3x-1)/(2sqrt(x))#
Explanation:
Given -
#y=sqrt(x)(x-1)#
#dy/dx=[sqrt(x) .(1)]+[(x-1) . 1/(2sqrt(x))]#
#dy/dx=sqrt(x)+(x-1)/(2sqrt(x))#
#dy/dx=(2x+x-1)/(2sqrt(x))=(3x-1)/(2sqrt(x))#
