Solve x³ + 2x

Step-by-step solution

1. Differentiate term-by-term using the sum rule: $\frac{d}{dx}(x^3 + 2x) = \frac{d}{dx}(x^3) + \frac{d}{dx}(2x)$.

2. Apply the power rule to $x^3$: $\frac{d}{dx}(x^3) = 3x^2$.

3. Differentiate $2x$: a constant times $x$ has derivative equal to the constant. $\frac{d}{dx}(2x) = 2$.

4. Combine: $3x^2 + 2$.