Question

√sin√x derivative of the function​

Answer 1

$y = \sqrt{sin \sqrt{x} } \\ \\ \frac{dy}{dx} = \frac{1}{2 \sqrt{sin \sqrt{x} } } \frac{d}{dx} sin \sqrt{x} \\ \\ \frac{dy}{dx} = \frac{1}{2 \sqrt{sin \sqrt{x} } } cos \sqrt{x} \frac{1}{2 \sqrt{x} } \\ \\ \frac{dy}{dx} = \frac{cos \sqrt{x} }{4 \sqrt{x} \sqrt{sin \sqrt{x} } }$