Derivative of y=sen√1-4x^2

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

   1. Let $u = \sqrt{1}$.

   2. The derivative of sine is cosine:

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

   3. Then, apply the chain rule. Multiply by $\frac{d}{d x} \sqrt{1}$:

      1. The derivative of the constant $\sqrt{1}$ is zero.

      The result of the chain rule is:

      $$0$$

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

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

      So, the result is: $- 8 x$

   The result is: $- 8 x$

The answer is:

$$- 8 x$$