$\text { Evaluate the derivative of the function } y = \sqrt [ 5 ] { 2 x ^ { 5 } + 2 x } \text { at the point } x = 3 \text {. }$

question 7

Multiple Choice

$\text { Evaluate the derivative of the function } y = \sqrt [ 5 ] { 2 x ^ { 5 } + 2 x } \text { at the point } x = 3 \text {. }$

• A)\(y ^ { t } ( 3 ) = \frac { 812 } { ( 492 ) ^ { \frac { 3 } { 5 } } }\)
• B) \(y ^ { t } ( 3 ) = \frac { 812 } { 5 ( 492 ) ^ { \frac { 3 } { 5 } } }\)
• C) \(y ^ { t } ( 3 ) = \frac { 812 } { 5 ( 492 ) ^ { \frac { 4 } { 5 } } }\)
• D)\(y ^ { t } ( 3 ) = \frac { 812 } { 407 ( 492 ) ^ { \frac { 4 } { 5 } } }\)
• E)\(y ^ { t } ( 3 ) = \frac { 812 } { 5 ( 492 ) ^ { \frac { 6 } { 5 } } }\)

Appreciate the complexity and multi-directional nature of human development.

Grasp the key tenets of developmental and ecological-systems theories.

Acknowledge the importance of research methodology and its limitations in the study of human development.

Understand the distinctions between various research designs and their implications for developmental psychology.

---

Definitions:

Caring Relationships

Connections between individuals that are characterized by compassion, empathy, and a commitment to the well-being of the other.

Caritative Factors

Elements that contribute to the act of giving care that is compassionate and based on love and respect for the individual's dignity.

Core

The essential, central part of something, from which it derives its strength or foundation.

Quality-Caring Model

A nursing model that emphasizes the importance of the relationship between patient and caregiver in achieving positive health outcomes.