$\"\"$

The composite function is $\"y=\\sqrt{\\sin$ .

$\"y\"$ is in the form of composite function $\"f\\$ .

Definition of composite function :

The notation $\"f\\$ means that the function $\"\"$ is applied first and then $\"\"$ is applied.

Consider $\"g(x)=\\sin$ .

$\"y=\\sqrt{g(x)}\"$ .

From the above expression, $\"g(x)=\\sin$ and $\"\\small$ .

$\"\"$

$\"y=\\sqrt{\\sin$

Differentiate on each side with respect to $\"x\"$ .

Chain Rule of derivatives: $\"\\frac{d}{dx}f(g(x))=$ .

$\"\\\\y\'=\\frac{d}{dx}(\\sqrt{\\textup{\\textrm{sin}$

$\"y\'=\\frac{\\cos$

$\"\"$

$\"\\small$ and $\"g(x)=\\sin$ .

$\"y\'=\\frac{\\cos$ .