Find the Derivative of the Following Function $y = 1 - 6 e ^ { - x ^ { 6 } }$

question 44

Multiple Choice

Find the derivative of the following function. $y = 1 - 6 e ^ { - x ^ { 6 } }$

• A) \(y ^ { \prime } = 36 x ^ { 5 } e ^ { - x ^ { 6 } }\)
• B) \(y ^ { \prime } = - 36 x ^ { 5 } e ^ { - x ^ { 6 } }\)
• C) \(y ^ { \prime } = 6 e ^ { - x ^ { 6 } }\)
• D) \(y ^ { \prime } = 6 x ^ { 6 } e ^ { - x ^ { 6 } }\)
• E) \(y ^ { \prime } = - 6 x ^ { 6 } e ^ { - x ^ { 6 } }\)

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Definitions:

Intimacy

The sense of close personal connection and mutual vulnerability shared between individuals, often in the context of a close relationship.

Levinson

Refers to the theories of psychologist Daniel Levinson, who proposed a series of stages of adult development, including the concept of a mid-life crisis.

Settling Down

The act of beginning to live a stable and orderly life, commonly associated with establishing a long-term residence, career, or entering into long-term relationships.

Developmental Sequence

The ordered progression of behavioral, cognitive, or physical changes that occur as a person grows and matures.