Find the derivative of f(x) = 2x^3 - 5x^2 + 3x - 1.
Correct: A
The derivative of f(x) = 2x^3 - 5x^2 + 3x - 1 is f'(x) = d(2x^3)/dx - d(5x^2)/dx + d(3x)/dx - d(1)/dx. Using the power rule of differentiation, which states that if f(x) = x^n, then f'(x) = n*x^(n-1), we have f'(x) = 2*3*x^(3-1) - 5*2*x^(2-1) + 3*1*x^(1-1) - 0 = 6x^2 - 10x + 3.