Derivative of (x+4)^2+2

1. Differentiate $\left(x + 4\right)^{2} + 2$ term by term:

   1. Let $u = x + 4$.

   2. Apply the power rule: $u^{2}$ goes to $2 u$

   3. Then, apply the chain rule. Multiply by $\frac{d}{d x} \left(x + 4\right)$:

      1. Differentiate $x + 4$ term by term:

         1. Apply the power rule: $x$ goes to $1$

         2. The derivative of the constant $4$ is zero.

         The result is: $1$

      The result of the chain rule is:

      $$2 x + 8$$

   4. The derivative of the constant $2$ is zero.

   The result is: $2 x + 8$

The answer is: