Differentiate the following w.r.t x
`tan(3x+1)`

Explanation

To differentiate the function \( \tan(3x + 1) \) with respect to \( x \), we will use the chain rule. Here’s a step-by-step solution:

### Step 1: Identify the outer and inner functions
Let \( u = 3x + 1 \). Then, the function can be rewritten as \( \tan(u) \).

### Step 2: Apply the chain rule
The chain rule states that if you have a composite function \( f(g(x)) \), then the derivative is given by:
\[
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