Differentiate the following with respect of `x :(x^3sinx)/(cos x)`

Explanation

To differentiate the function \( f(x) = \frac{x^3 \sin x}{\cos x} \), we can use the quotient rule or rewrite it in a more convenient form. Here, we will rewrite it as a product of two functions and then apply the product rule.

### Step-by-Step Solution:

1. **Rewrite the function**:
\[ f(x) = x^3 \sin x \cdot \frac{1}{\cos x} = x^3 \sin x \cdot \sec x \]
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