$\text { Find the value of the derivative (if it exists) of } f ( x ) = ( x - 2 ) ^ { 4 / 5 } \text { at the indicated }$

question 105

Multiple Choice

$\text { Find the value of the derivative (if it exists) of } f ( x ) = ( x - 2 ) ^ { 4 / 5 } \text { at the indicated }$ extremum.

• A) \(f ^ { t } ( 2 )\) is undefined.
• B) \(f ^ { t } ( 2 ) = ( - 4 ) ^ { 4 / 5 }\)
• C) \(f ^ { t} ( 2 ) = 0\)
• D) \(f ^ { t} ( 2 ) = \frac { 4 } { 5 } ( 2 ) ^ { - 1 / 5 }\)
• E) \(f ^ { t } ( 2 ) = ( 4 ) ^ { 4 / 5 }\)

---

Definitions:

Mother-Infant Attachment

The emotional bond that forms between a newborn and their primary caregiver, pivotal for the child’s social and emotional development.

Breast-Feed

The act of feeding a baby with milk directly from the mother's breasts, providing essential nutrients and antibodies.

Critical Period

A specific time during development when the presence or absence of certain experiences can have profound effects on future neurological and behavioral functioning.

Children Disobey

The act of children not following or adhering to given instructions or rules, often seen as a part of their developmental process.