$\text { Find the derivative of the algebraic function } f ( x ) = \left( x ^ { 6 } + 4 \right) ^ { 5 } \text {. }$

question 124

Multiple Choice

$\text { Find the derivative of the algebraic function } f ( x ) = \left( x ^ { 6 } + 4 \right) ^ { 5 } \text {. }$

• A) \(f ^ {t} ( x ) = 5 x ^ { 5 } \left( x ^ { 6 } + 4 \right) ^ { 4 }\)
• B)\(f ^ {t } ( x ) = 6 x ^ { 5 } \left( x ^ { 6 } + 4 \right) ^ { 4 }\)
• C) \(f ^ { t} ( x ) = 30 x ^ { 5 } \left( x ^ { 6 } + 4 \right) ^ { 4 }\)
• D) \(f ^ { t } ( x ) = 30 x ^ { 7 } \left( x ^ { 6 } + 4 \right) ^ { 4 }\)
• E) \(f ^ { t } ( x ) = 30 x ^ { 6 } \left( x ^ { 6 } + 4 \right) ^ { 4 }\)

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Definitions:

Milgram's Study

An experiment conducted by psychologist Stanley Milgram in the 1960s to investigate obedience to authority figures, famously revealing people's willingness to follow orders that harm others.

Benefits Outweigh

A situation where the positive aspects or outcomes of a decision or action are more substantial than the negative ones.

Validity

The degree to which a concept, conclusion, or measurement is well-founded and likely corresponds accurately to the real world.

Reliability

Reliability in social science research refers to the consistency and dependability of measurement tools and methods, ensuring that studies can be replicated and results are stable over time.