Find All Possible Functions with the Given Derivative $\mathbf { r } ^ { \prime } = 4 + \frac { 1 } { \theta ^ { 4 } }$

question 76

Multiple Choice

Find all possible functions with the given derivative.
- $\mathbf { r } ^ { \prime } = 4 + \frac { 1 } { \theta ^ { 4 } }$

• A) \(r = 4 \theta + \theta ^ { 4 }\)
• B) \(r = 4 \theta - \theta ^ { 5 }\)
• C) \(r = 4 \theta - \frac { 1 } { 3 \theta ^ { 3 } }\)
• D) \(r = 4 \theta + \frac { 1 } { 5 \theta ^ { 5 } }\)

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Definitions:

Extinction

A process in which the conditioned response is weakened when the conditioned stimulus is repeated without the unconditioned stimulus.

Acquisition

The gradual formation of an association between conditioned and unconditioned stimuli.

Spontaneous Recovery

A process in which a previously extinguished response reemerges after the conditioned stimulus is presented again.

Conditioned Stimulus

In classical conditioning, a previously neutral stimulus that, after becoming associated with the unconditioned stimulus, triggers a conditioned response.