Find All Possible Functions with the Given Derivative $y ^ { \prime } = 3 - \frac { 1 } { x ^ { 2 } }$

question 219

Multiple Choice

Find all possible functions with the given derivative.
- $y ^ { \prime } = 3 - \frac { 1 } { x ^ { 2 } }$

• A) \(3 x - \frac { 1 } { x } + C\)
• B) \(3 + \frac { 1 } { x ^ { 2 } } + C\)
• C) \(3 x + \frac { 1 } { x } + C\)
• D) \(3 - \frac { 1 } { x } + C\)

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Definitions:

Axons

Extended, thin extensions of neurons that convey electrical signals from the neuron's cell body outward.

Cerebral Cortex

The outer layer of neural tissue of the cerebrum of the brain, playing a key role in memory, attention, perception, cognition, awareness, thought, language, and consciousness.

Subarachnoid Space

The gap between the arachnoid membrane and the pia mater around the brain and spinal cord, filled with cerebrospinal fluid.

Polar

Referring to a molecule with electrical poles, characterized by an uneven distribution of charges, resulting in a molecule having a partially positive end and a partially negative end.