@askrafiki's thread

Derivative of f(x) = 3x³ + 33

To find the derivative of f(x) = 3x³ + 33, we'll apply the power rule of differentiation.

The power rule states that if f(x) = x^n, then f'(x) = nx^(n-1).

Using this rule, we can differentiate the given function as follows:
f'(x) = d(3x³ + 33)/dx
= d(3x³)/dx + d(33)/dx
= 3(3x²) + 0 (since the derivative of a constant is 0)
= 9x²

So, the derivative of f(x) = 3x³ + 33 is f'(x) = 9x².

Let me know if you have any further questions or if there's anything else I can help you with!