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 power rule of differentiation. Here’s the step-by-step solution:

### Step 1: Differentiate \( \sin^3 x \)

Using the chain rule, we have:
\[ \frac{d}{dx} (\sin^3 x) = 3 \sin^2 x \cdot \frac{d}{dx} (\sin x) \]
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