Question$(\sin \sqrt{x})^{\prime}$

Studdy Solution
Apply the chain rule to find the derivative of $\sin \sqrt{x}$:
$$\frac{d}{dx}(\sin \sqrt{x}) = \cos(\sqrt{x}) \cdot \frac{1}{2\sqrt{x}}$$
Simplify the expression:
$$\frac{d}{dx}(\sin \sqrt{x}) = \frac{\cos(\sqrt{x})}{2\sqrt{x}}$$
The derivative of $\sin \sqrt{x}$ is:
$$\boxed{\frac{\cos(\sqrt{x})}{2\sqrt{x}}}$$