Differentiate w.r.t x : sin ` (x^(3))`

Explanation

To differentiate the function \( y = \sin(x^3) \) with respect to \( x \), we will use the chain rule. Here are the steps to solve the problem:

### Step 1: Identify the outer and inner functions
Let \( y = \sin(u) \) where \( u = x^3 \). This means we have an outer function \( \sin(u) \) and an inner function \( u = x^3 \).

### Step 2: Differentiate the outer function
The derivative of \( y \) with respect to \( u \) is:
\[
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