Find the Slope of the Curve at the Given Point $$y = x ^ { 2 } + 11 x - 15 , P ( 1 , - 3 )$$

question 16

Multiple Choice

Find the slope of the curve at the given point P and an equation of the tangent line at P.
- $$y = x ^ { 2 } + 11 x - 15 , P ( 1 , - 3 )$$

• A) slope is \(- 39 ; y = - 39 x - 80\)
• B) slope is \(13 ; y = 13 x - 16\)
• C) slope is \(- \frac { 4 } { 25 } ; y = - \frac { 4 x } { 25 } + \frac { 8 } { 5 }\)
• D) slope is \(\frac { 1 } { 20 } ; y = \frac { x } { 20 } + \frac { 1 } { 5 }\)

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Definitions:

Freud

Sigmund Freud was an Austrian neurologist and the founder of psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.

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Psychoanalytic Theory

A psychological theory and therapeutic method developed by Sigmund Freud that emphasizes unconscious motives and conflicts.

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