Differentiate the functions with respect to x
`sin(x^2+5)`

Explanation

To differentiate the function \( f(x) = \sin(x^2 + 5) \) with respect to \( x \), we will use the chain rule. The chain rule states that if you have a composite function \( f(g(x)) \), then the derivative is given by \( f'(g(x)) \cdot g'(x) \).

### Step-by-Step Solution:

1. **Identify the outer and inner functions**:
- Here, the outer function is \( f(u) = \sin(u) \) where \( u = x^2 + 5 \).
- The inner function is \( g(x) = x^2 + 5 \).

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