2. Find the first derivative for the following function.

To find the first derivative of a function, you typically apply the rules of differentiation such as the power rule, product rule, quotient rule, or chain rule, depending on the function's complexity. For example, if you have a polynomial like f(x) = 3x^3 + 5x^2 - 4, the derivative f'(x) would be found by bringing down the power: f'(x) = 9x^2 + 10x. Once you apply these rules, remember to simplify your answer if possible. Pay attention to common mistakes like forgetting to apply the negative sign in the case of a subtraction or mixing up product and quotient rules, as they can lead to incorrect results!