Find the Derivative Of $f ( x ) = \sqrt { 4 - x }$

question 101

Essay

Find the derivative of $f ( x ) = \sqrt { 4 - x }$ using the definition of the derivative.

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Definitions:

Critical Thinking

The intellectually disciplined process of actively and skillfully conceptualizing, applying, analyzing, synthesizing, and/or evaluating information.

Purposeful Judgments

Decisions or evaluations made with a specific intention or goal in mind, often reflecting a deliberate choice.

Well-Reasoned Judgments

Judgments that are logically sound and based on careful consideration and evaluation of all relevant information.

Critical Thinking

Meticulously examining and assessing an affair with the goal of establishing a perspective.