so i did these questions are they right ? the working and all ??

Find the dervative

θ= 3r+2/2r+3

dθ/dr= d/dr (3r+2)(2r+3)-(3r+2)d/dr(2r+3)/ (2r+3)^2

dθ/dr= 3(2r+3)-2(3r+2)/(2r+3)^2

dθ/dr= 6r +9-6r-4/ (2r+3)^2

dθ/dr= 5/(2r+3)^2

Find the derivative

y= x^2 +2x -3

y= (x+Δx)^2+2(x+Δx)-3-(x^2+2x-3)

y= x^2 +2xΔx+(Δx)^2+2x+2Δx-3-x^2-2x+3

=2xΔx+(Δx)^2+2Δx

=(2x+2)Δx

=2x+2 or 2(x+1)