Find the derivative of the function

This function is a composite one, it may be expressed as  where and The chain rule is applicable here,

This gives us  

Note that for all and the final answer is

We may obtain the same result if note that for all  ( is...

This function is a composite one, it may be expressed as  where and The chain rule is applicable here,

This gives us  

Note that for all and the final answer is

We may obtain the same result if note that for all  ( is non-negative and therefore square root should be taken with plus sign only).