If $f ( x ) = - \frac { 1 } { x ^ { 2 } }$

question 149

Multiple Choice

If $f ( x ) = - \frac { 1 } { x ^ { 2 } }$ , find $f ^ { \prime } ( 1 )$ .

• A) \(- \frac { 1 } { 3 }\)
• B) \(- 2\)
• C) \(\frac { 1 } { 3 }\)
• D) \(- \frac { 1 } { 4 }\)
• E) \(\frac { 1 } { 2 }\)
• F) \(- \frac { 1 } { 2 }\)
• G)2
• H) \(\frac { 1 } { 4 }\)

---

Definitions:

Regression Equation

A mathematical formula that describes the relationship between one dependent variable and one or more independent variables.

Y′

A symbol often representing a predicted value or derivative in mathematical equations or models.

Linear Regression

A statistical method for modeling the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Multiple Regression

A statistical technique that uses more than one independent variable to predict the outcome of a dependent variable, allowing for the analysis of complex relationships.