Final answer:
The derivative dy/dx of the function y = 3x² - 4x + 1 is found using the power rule for differentiation. The correct derivative is 6x - 4, which is choice a) in the list provided.
Step-by-step explanation:
The question asks us to find the derivative dy/dx of the function y = 3x² - 4x + 1. To do this, we use the power rule for differentiation, which states that the derivative of x^n with respect to x is n*x^(n-1). Applying this rule to each term in our function:
- The derivative of 3x² is 2*3x = 6x.
- The derivative of -4x is -4.
- The derivative of a constant, such as +1, is 0.
Therefore, the derivative dy/dx of the function y = 3x² - 4x + 1 is 6x - 4. The correct choice is a) 6x - 4.