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QUESTION
How do you differentiate ##y=x^(x-1)##?
##dy/dx= x^(x-1)*((x-1)/x+lnx)##
##y=x^(x-1)##
##lny = (x-1)*lnx##
##1/ydy/dx= (x-1)*1/x+lnx*1##
##dy/dx= y * ((x-1)*1/x+lnx)##
##dy/dx= x^(x-1)*((x-1)/x+lnx)##
