Differentiate y=4x^2+3x+9

Use the rule of "bringing down the power" and then reducing the power by 1. Start with 4x^2. "Bring down" the 2 to make (4)(2)x^2, then reduce the power by 1 to make 8x. Now repeat this with 3x (you can imagine this as 3x^1 if this is easier). Bring down the 1 to make (3)(1)x^1 and then reduce the power by 1 to make 3x^0 which is 3. 9 cannot be differentiated , so we just get 0. Overall, this gives us dy/dx = 8x + 3