Find the Derivative Of $f ( x ) = x ^ { - 3 } - 10 e ^ { x }$

question 65

Multiple Choice

Find the derivative of $f ( x ) = x ^ { - 3 } - 10 e ^ { x }$

• A) \(f ^ { \prime } ( x ) = 3 x ^ { 2 } - 10 e ^ { x }\)
• B) \(f ^ { \prime } ( x ) = - \frac { 3 } { x ^ { 4 } } - 10 x e ^ { x - 1 }\)
• C) \(f ^ { \prime } ( x ) = - \frac { 3 } { x ^ { 4 } } - 10 e ^ { x }\)
• D) \(f ^ { \prime } ( x ) = 3 x ^ { 2 } - 10 x e ^ { x - 1 }\)
• E) \(f ^ { \prime } ( x ) = - \frac { 3 } { x ^ { 4 } } - 10 x e ^ { x }\)

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Definitions:

Two-Factor Theory

A concept in psychology that proposes emotional experiences arise from a combination of a state of physiological arousal and a cognitive interpretation of that arousal.

Physiological Reaction

A bodily response to a stimulus, such as an increase in heart rate, sweating, or the release of adrenaline, often not under conscious control and indicative of physiological processes.

Arousal Level

The physiological and psychological state of being awoken or stimulated to action.

Self-Discrepancy Theory

The theory that people feel anxiety when they fall short of how they ought to be but feel sad when they fall short of how they ideally want to be.