Find the Indicated Derivative $y ^ { ( 4 ) } \text { if } y = x ^ { 7 } - 3 x ^ { 3 } \text {. }$

question 25

Multiple Choice

Find the indicated derivative. Find $y ^ { ( 4 ) } \text { if } y = x ^ { 7 } - 3 x ^ { 3 } \text {. }$

• A) \(210 x ^ { 4 }\)
• B) \(210 x ^ { 3 }\)
• C) \(210 x ^ { 3 } - 18 x\)
• D) \(840 x ^ { 4 } - 18 x\)
• E) \(840 x ^ { 3 }\)

---

Definitions:

Endorphins

Natural chemicals in the body that act as painkillers and mood enhancers.

Serotonin

A neurotransmitter that has a key role in regulating mood, digestion, sleep, and other bodily functions.

Endogenous Opioids

Natural pain-relieving peptides produced by the body, such as endorphins, that modulate pain and stress responses.

Psychoneurological System

Relates to the study and interaction of the psychological processes and the nervous system.