The conversation between human and AI assistant.
How do I solve this math problem?
Actually, can you explain how you got that answer? I'm having trouble understanding the process.
Certainly. To find the derivative of f(x), we use the power rule and the constant multiple rule. The power rule states that if we have a function f(x) = x^n, its derivative is f'(x) = nx^(n-1). In the case of f(x) = 3x^2, we have n = 2. So f'(x) = 6x. For the term - 5x, we simply use the constant multiple rule, which states that if we have a function f(x) multiplied by a constant c, the derivative of the function is c times the derivative of the function. So in this case, the derivative of -5x is -5. Adding the two parts together, we get f'(x) = 6x - 5.