Differentiate w.r.t. x the function `sin^3x+cos^6x`

Explanation

To differentiate the function \( f(x) = \sin^3 x + \cos^6 x \) with respect to \( x \), we will use the chain rule and the property of differentiation of sums. Here’s a step-by-step solution:

### Step 1: Differentiate the function
We start with the function:
\[ f(x) = \sin^3 x + \cos^6 x \]

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