Find the Equation of the Tangent Line to the Curve $y =$

question 65

Essay

Find the equation of the tangent line to the curve $y =$ $\sqrt { x }$ at the point $( 4,2 )$ .

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Definitions:

Absolute Monarchy

A form of government where the monarch holds supreme authority, unrestricted by laws or constitution; their word or decree is law.

Louis XIII

King of France from 1610 to 1643, known for strengthening the French monarchy and establishing absolute monarchy as the form of government.

Valois Dynasty

A royal dynasty of France that ruled from 1328 to 1589, known for its involvement in the Hundred Years' War and the Wars of Religion.

Catherine de'Medici

A prominent figure in French history, she was queen consort of France from 1547 to 1559 and played a significant role in the political and religious conflict of her times.