Problem 5 - Olympiad

The derivative of f(x) = 3x^2 is f'(x) = d(3x^2)/dx. Using the power rule of differentiation, which states that if f(x) = x^n then f'(x) = n*x^(n-1), we find that f'(x) = d(3x^2)/dx = 3*d(x^2)/dx = 3*2*x^(2-1) = 6x.