find the derivative of the function y=(4x+3)^5(5x+2)^-4

y' = (4x+3)^5 (-4)(5x+2)^-5 (5) + (5x+2)^-4 (5)(4x+3)^4 (5)

= -20(4x+3)^5 (5x+2)^-5 + 20(4x+3)^4 (5x+2)^-4

take it further if there is need by taking out a common factor of 20(4x+3)^4 (5x+2)^-5