Differentatiate `((e^(x)cos x)/x^(3))` using the product rule .

Explanation

To differentiate the function \( \frac{e^x \cos x}{x^3} \) using the product rule, we will first rewrite the function in a more manageable form. We can express it as:

\[ f(x) = e^x \cos x \cdot x^{-3} \]

Now, we will apply the product rule, which states that if you have two functions \( u \) and \( v \), then the derivative of their product is given by:

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