Derivative of f(x)=3-2x+4x^2

1. Differentiate $4 x^{2} + \left(3 - 2 x\right)$ term by term:

   1. Differentiate $3 - 2 x$ term by term:

      1. The derivative of the constant $3$ is zero.

      2. The derivative of a constant times a function is the constant times the derivative of the function.

         1. Apply the power rule: $x$ goes to $1$

         So, the result is: $-2$

      The result is: $-2$

   2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: $x^{2}$ goes to $2 x$

      So, the result is: $8 x$

   The result is: $8 x - 2$

The answer is: