Derivative of 23*sin(x)-26x+5

1. Differentiate $- 26 x + 23 \sin{\left(x \right)} + 5$ 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: $23 \cos{\left(x \right)}$

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

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

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

         So, the result is: $26$

      So, the result is: $-26$

   3. The derivative of the constant $5$ is zero.

   The result is: $23 \cos{\left(x \right)} - 26$

The answer is:

$$23 \cos{\left(x \right)} - 26$$