Simplify the Expression Representing the Derivative of a Function $$f ^ { \prime } ( x ) = \left( 4 x ^ { 4 } - 3 x ^ { 3 } + 6 x - 5 \right) ( 6 x ) + ( x - 3 ) \left( 6 x ^ { 2 } - 6 \right)$$

question 113

Multiple Choice

Simplify the expression representing the derivative of a function.
- $$f ^ { \prime } ( x ) = \left( 4 x ^ { 4 } - 3 x ^ { 3 } + 6 x - 5 \right) ( 6 x ) + ( x - 3 ) \left( 6 x ^ { 2 } - 6 \right)$$

• A) \(24 x ^ { 5 } - 18 x ^ { 4 } + 6 x ^ { 3 } - 36 x ^ { 2 } - 36 x + 18\)
• B) \(24 x ^ { 5 } - 18 x ^ { 4 } + 6 x ^ { 3 } + 18 x ^ { 2 } - 36 x + 18\)
• C) \(24 x ^ { 5 } - 18 x ^ { 4 } - 6 x ^ { 3 } + 18 x ^ { 2 } - 36 x - 18\)
• D) \(24 x ^ { 5 } - 18 x ^ { 4 } - 18 x ^ { 2 } - 30 x + 18\)

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Definitions:

Refrigerator Parents

A discredited theory that cold, unloving, or neglectful parenting styles were responsible for autism spectrum disorders.

Emotionally Distant

A state or condition in which an individual is emotionally unresponsive or detached from others, often as a defense mechanism or due to psychological distress.

Perseveration Of Sameness

A resistance to change and a strict adherence to routines or repetition of specific behaviors, often observed in autism spectrum disorders.

Rigid And Repetitive Behavior

Patterns of behavior that are inflexible and consistently repeated, often seen in autism spectrum disorders.