The conversation between human and AI assistant.
What is [math]\frac{d}{dx}(2x)^2[/math]?
That was quick! How did you calculate it?
Well, we used the power rule of differentiation, which states that if [math]f(x) = x^n[/math], then [math]f'(x) = nx^{n-1}[/math]. In this case, the exponent is 2, so we get [math]2(2x)^{2-1} = 4x[/math].