Find the Derivative of the Following Function Using the Limiting $f ( x ) = \frac { 1 } { x ^ { 4 } }$

question 176

Multiple Choice

Find the derivative of the following function using the limiting process. $f ( x ) = \frac { 1 } { x ^ { 4 } }$

• A) \(f ^ {t } ( x ) = \frac { 4 } { x ^ { 5 } }\)
• B) \(f ^ { t } ( x ) = - \frac { 4 } { x ^ { 3 } }\)
• C) \(f ^ { t } ( x ) = \frac { 4 } { x ^ { 3 } }\)
• D) \(f ^ {t } ( x ) = - \frac { 5 } { x ^ { 5 } }\)
• E) \(f ^ { t } ( x ) = - \frac { 4 } { x ^ { 5 } }\)

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Definitions:

Weber's Law

A principle that states the smallest change in a stimulus, such as weight or brightness, that can be detected is a constant proportion of the original stimulus's intensity.

Differential Threshold

The smallest detectable difference between two stimuli or the minimum change in intensity that a person can detect.

Marketers

Professionals or organizations responsible for promoting, selling, and distributing products or services to customers.

Absolute Threshold

The minimum stimulus intensity that an organism can detect half the time.