Find the Derivative of the Function $f ( x ) = x ^ { 5 }$

question 4

Multiple Choice

Find the derivative of the function. $f ( x ) = x ^ { 5 }$

• A) \(f ^ { \prime } ( x ) = 5 x ^ { 5 }\)
• B) \(f ^ { \prime } ( x ) = 5 x ^ { 4 }\)
• C) \(f ^ { \prime } ( x ) = 4 x ^ { 4 }\)
• D) \(f ^ { \prime } ( x ) = 4 x ^ { 6 }\)
• E)none of the above

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Definitions:

Difference Threshold

The minimal change in stimulus that can just barely be detected by an organism, also known as the just noticeable difference (JND).

Trichromatic Theory

A theory of color vision proposing that colors are perceived through the relative rates of response by three kinds of cones, each one sensitive to a range of wavelengths.

Opponent-process Theory

A psychological and physiological model that explains how humans perceive colors as the result of complex interactions between various neurons that process color in an antagonistic manner.

Somesthetic Senses

A group of senses that includes the sensations of touch, temperature, body position, and pain, originating from muscles, joints, skin, and other internal receptors.