If $g ( x ) = \sqrt { 2 - 3 x }$

question 82

Multiple Choice

If $g ( x ) = \sqrt { 2 - 3 x }$ , use the definition of derivative to find $g ^ { \prime } ( x )$

• A)
• \(g ^ { \prime } ( x ) = - \frac { 1 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\)
• B) \(g ^ { \prime } ( x ) = - ( 2 - 3 x ) ^ { - 1 / 2 }\)
• C)
• \(g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { 1 / 2 }\)
• D)
• \[g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\]
• E) None of these

---

Definitions:

Cytology Studies

The examination of cells from the body under a microscope to detect abnormalities and diagnose conditions like cancer.

Core Needle Biopsy

A medical procedure that involves removing a small cylinder of tissue using a hollow core needle to test for diseases or conditions.

BRCA 1 Mutation

A genetic mutation associated with a significantly increased risk of breast and ovarian cancers.

Menarche

The occurrence of the first menstrual cycle in a female, a significant milestone in female puberty.