Differentiate the functions given w.r.t. x:
`(x+3)^2.(x+4)^3.(x+5)^4`

Explanation

To differentiate the function \( y = (x + 3)^2 (x + 4)^3 (x + 5)^4 \) with respect to \( x \), we will use logarithmic differentiation. Here’s a step-by-step solution:

### Step 1: Take the natural logarithm of both sides
We start by taking the natural logarithm of both sides:
\[ \ln y = \ln \left( (x + 3)^2 (x + 4)^3 (x + 5)^4 \right) \]

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