Find the derivative of `sin x3 ` from first principles.

Explanation

To find the derivative of the function \( f(x) = \sin(x^3) \) from first principles, we will use the definition of the derivative:

\[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \]

### Step 1: Define the function
Let \( f(x) = \sin(x^3) \).
...