Let $f ( x ) = 6 x ^ { 5 } - 90 \ln x$

question 7

Multiple Choice

Let $f ( x ) = 6 x ^ { 5 } - 90 \ln x$ ,for x > 0.Find the minimum value of f for x > 0.

• A)0
• B) \(3 \left( 3 ^ { 5 } - 15 \ln 3 \right)\)
• C)18(1 - ln 3)
• D) \(6 \left( 3 ^ { 5 } - 15 \ln 3 \right)\)

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Definitions:

Mutual Mistake

A misunderstanding shared by all parties to a contract, causing a fundamental misbelief about a vital fact of the agreement.

Duress

The use of force, pressure, or threats to compel someone to act against their will or better judgment in concluding a contract or performing an act.

Improper Threats

Coercive actions or statements intending to force someone into an agreement or decision against their will, often considered unlawful.

Mistake

An error or misunderstanding that can impact the validity of a contract or agreement.