Find the derivative of y = (2x +1) (3x - 4)

Question

I need help with this Calculus question.

Answer 1

We use the product rule.

 

 

dy/dx = (d/dx(2x + 1) * (3x - 4 )) + ((2x + 1) * d/dx(3x - 4))

 

         = 2(3x - 4) + 3(2x + 1)

 

         = 6x - 8 + 6x + 3

 

         = 12x - 5