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According to the Mean Value Theorem, If f(x)=x2f ( x ) = x ^ { 2 }

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According to the Mean Value Theorem, if f(x)=x2f ( x ) = x ^ { 2 } then there exists a number c, 6<c<86 < c < 8 , such that f '(c)= a.What is a?

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Definitions:

Indifference Curve

A curve representing all combinations of goods or services among which a consumer is indifferent, showing different combinations that provide the same level of utility to the consumer.

Expected Return

The anticipated profit or loss from an investment, taking into account the possibility of various outcomes.

Standard Deviation

A parameter that assesses the extent of difference or range within a batch of numerical values.

Risk-Averse Investor

An investor who prefers lower returns with known risks rather than higher returns with unknown risks.

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