Find the derivative of the function f(x) = 3x^2 - 2x + 1

To find the derivative of the function f(x) = 3x^2 - 2x + 1, you need to apply the power rule, which states that the derivative of x^n is n*x^(n-1).

Step 1: Identify the terms in the function. Here, the terms are 3x^2, -2x, and 1.

Step 2: Apply the power rule to each term.

For the first term, 3x^2, the derivative is 23x^(2-1) = 6x.

For the second term, -2x, the derivative is -21x^(1-1) = -2.

The third term, 1, is a constant, and the derivative of a constant is 0.

Step 3: Combine the derivatives of each term to get the derivative of the function.

So, the derivative of f(x) = 3x^2 - 2x + 1 is f'(x) = 6x - 2.