Derivative of 4*sin(x)+9

1. Differentiate $4 \sin{\left(x \right)} + 9$ term by term:

   1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of sine is cosine:

         $$\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$$

      So, the result is: $4 \cos{\left(x \right)}$

   2. The derivative of the constant $9$ is zero.

   The result is: $4 \cos{\left(x \right)}$

The answer is:

$$4 \cos{\left(x \right)}$$