Differentiate. -Find F'(x) for F(x) = (5x³ + 4)(3x⁷ - 5)

question 26

Multiple Choice

Differentiate.
-Find f'(x) for f(x) = (5x³ + 4) (3x⁷ - 5) .

• A) f'(x) = 150x⁹ + 84x⁶ - 75x²
• B) f'(x) = 20x⁹ + 84x⁶ - 75x
• C) f'(x) = 150x⁹ + 84x⁶ - 75x
• D) f'(x) = 20x⁹ + 84x⁶ - 75x²

---

Definitions:

Autonomic Nervous System

A component of the nervous system that regulates involuntary physiological processes including heart rate, blood pressure, respiration, digestion, and sexual arousal.

Internal Organs

Organs located inside the body that perform essential functions for survival, including the heart, lungs, liver, and kidneys.

Intoxicated

The state of being under the influence of alcohol or drugs, leading to various physical and mental impairments.

Cerebellum

A region at the back of the brain that is involved in the coordination of movement and balance, as well as aspects of learning and memory.