If `y=cosx^3`, then find `(dy)/(dx)`.

Explanation

To find the derivative of \( y = \cos(x^3) \) with respect to \( x \), we will use the chain rule of differentiation. Here’s a step-by-step solution:

### Step 1: Identify the outer and inner functions
In the expression \( y = \cos(x^3) \):
- The outer function is \( \cos(u) \) where \( u = x^3 \).
- The inner function is \( u = x^3 \).

### Step 2: Differentiate the outer function
...