FIND dx/dy for y = x^(2x+1)

first take ln of both sides

lny = ln( x^(2x+1) )
= (2x+1)(lnx)

dy/dx / y = 2lnx + (1/x)(2x+1)
dy/dx = x^(2x+1) (2lnx + (1/x)(2x+1)

Don't know what simplification you need.