Use the Limit Definition to Find the Slope of the Tangent

question 17

Multiple Choice

Use the limit definition to find the slope of the tangent line to the graph of $f ( x ) = \sqrt { 4 x + 25 }$ at the point $( 6,7 )$ .

• A) \(\frac { 2 } { 7 }\)
• B) \(- \frac { 2 } { 7 }\)
• C) \(\frac { 1 } { 7 }\)
• D) \(- \frac { 1 } { 7 }\)
• E) \(\frac { 1 } { 6 }\)

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Definitions:

Adler

Refers to Alfred Adler, an Austrian medical doctor and psychotherapist, founder of the school of individual psychology.

Introvert

A personality type characterized by a preference for solitary activities and environments that are not overly stimulating, often involving introspective and reflective behaviors.

Jung

Carl Jung, a Swiss psychiatrist and psychoanalyst who founded analytical psychology, known for his theories of the collective unconscious and archetypes.

Unsociable

Characteristic of someone who is not seeking or enjoying the company of others; unfriendly or aloof.