Find `(dy)/(dx)` , when `y=e^(a x)cos(b x+c)`

Explanation

To find \(\frac{dy}{dx}\) for the function \(y = e^{ax} \cos(bx + c)\), we will use the product rule of differentiation. The product rule states that if you have two functions \(u\) and \(v\), then the derivative of their product is given by:

\[ \frac{d(uv)}{dx} = u \frac{dv}{dx} + v \frac{du}{dx} \]

### Step 1: Identify the functions
Let:
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