How do you find the derivative of d/( dx)(y = (3 x-2)/sqrt(2 x+1))?

We have to find the derivative of y = (3x-2)/sqrt(2
x+1))

y = (3x-2)/sqrt(2
x+1))

=> y = (3x-2)*(2x +
1)^(-1/2)

use the product
rule

y' = [(3x-2)]'*(2x + 1)^(-1/2) + (3x-2)*[(2x +
1)^(-1/2)]'

=> y' = 3*(2x + 1)^(-1/2) +
(3x-2)*(-1/2)*2*(2x + 1)^(-3/2)

=> y' = 3*(2x +
1)^(-1/2) - (3x-2)*(2x + 1)^(-3/2)

The
required derivative is 3*(2x + 1)^(-1/2) - (3x-2)*(2x +
1)^(-3/2)