Find the Slope of the Tangent Line of the Graph $f ( x ) = \frac { x ^ { 3 } } { 2 }$

question 43

Essay

Find the slope of the tangent line of the graph of $f ( x ) = \frac { x ^ { 3 } } { 2 }$ at the point $\left( 1 , \frac { 1 } { 2 } \right)$ .

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Definitions:

Consistent

Characterized by staying the same over time, showing reliability or uniformity in actions or outcomes.

Stability

Refers to the condition of being steady, firm, or unchanging over time.

Personality Traits

Enduring characteristics or qualities that define an individual's behavior across various situations.

Nature-Nurture Debate

The ongoing discussion concerning the relative importance of an individual's innate qualities versus their personal experiences in determining or causing differences in physical and behavioral traits.