Let G(x) = $\sqrt { x }$ Using the Chain Rule, Find an Expression for the Chain

question 65

Multiple Choice

Let g(x) = $\sqrt { x }$ . Using the chain rule, find an expression for the derivative of [g(f(x) ) ].

• A) \(\frac { 1 } { 2 \sqrt { f ( x ) } }\) f'(x)
• B) \(\frac { 1 } { 2 \sqrt { x } }\) f'( \(\sqrt { x }\) )
• C) \(\sqrt { x }\) f'(x) + \(\frac { 1 } { 2 }\) \(x ^ { - 1 / 2 }\) f(x)
• D) \(\sqrt { x }\) f( \(\sqrt { x }\) )
• E) none of these

---

Definitions:

Proper Hand Washing

A hygiene practice involving the thorough cleaning of hands with soap and water to remove dirt, germs, and microorganisms, preventing disease transmission.

Speculum

An instrument that permits viewing inside a body cavity.

Surgical Asepsis

The practice of creating and maintaining a sterile environment to prevent infection during surgical procedures.

Body Cavity

A space within the body that holds and protects internal organs.