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

Explanation

To differentiate the function \( y = \sin(x^2 + 5) \) with respect to \( x \), we will use the chain rule. Here are the steps to solve the problem:

### Step 1: Identify the outer and inner functions
In the function \( y = \sin(x^2 + 5) \), the outer function is \( g(u) = \sin(u) \) and the inner function is \( f(x) = x^2 + 5 \).

### Step 2: Differentiate the outer function
The derivative of the outer function \( g(u) = \sin(u) \) with respect to \( u \) is:
\[
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