Derivative of 7cosx+16x-2

1. Differentiate $16 x + 7 \cos{\left(x \right)} - 2$ 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 cosine is negative sine:

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

      So, the result is: $- 7 \sin{\left(x \right)}$

   2. 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: $16$

   3. The derivative of the constant $\left(-1\right) 2$ is zero.

   The result is: $16 - 7 \sin{\left(x \right)}$

The answer is:

$$16 - 7 \sin{\left(x \right)}$$