Final answer:
The derivative of f(x) = 10x² - 4x is f'(x) = 20x - 4.
Step-by-step explanation:
To find the derivative of the function f(x) = 10x² - 4x, we can use the power rule for differentiation. According to the power rule, if we have a function of the form f(x) = ax^n, then its derivative f'(x) is given by f'(x) = nax^(n-1).
In this case, we have f(x) = 10x² - 4x. Applying the power rule, the derivative f'(x) is f'(x) = 2(10x)^(2-1) - 1(4x)^(1-1) = 20x - 4.
Therefore, the derivative of f(x) = 10x² - 4x is f'(x) = 20x - 4.