d/dx(x³) =

To find the derivative of $x^3$, we use the **Power Rule** of differentiation. The Power Rule states: $$\frac{d}{dx} x^n = nx^{n-1}$$ In this problem, our function is $x^3$, which means $n = 3$. 1. **Identify the exponent**: $n = 3$. 2. **Bring the exponent down** to the front as a multiplier: $3x^{...}$. 3. **Subtract 1 from the exponent**: $3 - 1 = 2$. Putting it all together: $$\frac{d}{dx}(x^3) = 3x^{3-1} = 3x^2$$ Therefore, the correct answer is **3x²**.